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Finding the Fourth Proportional to 316,889.04, 475,013.68 and 198,643.40

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Solution

The fourth proportional to 316,889.04, 475,013.68 and 198,643.40 is: 297,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,889.04 : 475,013.68 = 198,643.40 : x
  2. Step 2: Convert to fraction form
    316,889.04/475,013.68 = 198,643.40/x
  3. Step 3: Cross multiply
    316,889.04x = 475,013.68 × 198,643.40
  4. Step 4: Simplify right side
    316,889.04x = 94,358,332,441.71
  5. Step 5: Solve for x
    x = 94,358,332,441.71/316,889.04
  6. Step 6: Final answer
    x = 297,764.58

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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.