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Finding the Fourth Proportional to 340,992,923.60, 511,555,740.60 and 146,903,963.60

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Solution

The fourth proportional to 340,992,923.60, 511,555,740.60 and 146,903,963.60 is: 220,384,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,992,923.60 : 511,555,740.60 = 146,903,963.60 : x
  2. Step 2: Convert to fraction form
    340,992,923.60/511,555,740.60 = 146,903,963.60/x
  3. Step 3: Cross multiply
    340,992,923.60x = 511,555,740.60 × 146,903,963.60
  4. Step 4: Simplify right side
    340,992,923.60x = 75,149,565,896,473,440
  5. Step 5: Solve for x
    x = 75,149,565,896,473,440/340,992,923.60
  6. Step 6: Final answer
    x = 220,384,532.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.