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Finding the Fourth Proportional to 1,375,652,185.69, 1,898,350,145.93 and 840,698,828.15

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Solution

The fourth proportional to 1,375,652,185.69, 1,898,350,145.93 and 840,698,828.15 is: 1,160,133,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,652,185.69 : 1,898,350,145.93 = 840,698,828.15 : x
  2. Step 2: Convert to fraction form
    1,375,652,185.69/1,898,350,145.93 = 840,698,828.15/x
  3. Step 3: Cross multiply
    1,375,652,185.69x = 1,898,350,145.93 × 840,698,828.15
  4. Step 4: Simplify right side
    1,375,652,185.69x = 1,595,940,743,101,732,608
  5. Step 5: Solve for x
    x = 1,595,940,743,101,732,608/1,375,652,185.69
  6. Step 6: Final answer
    x = 1,160,133,905.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.