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Finding the Fourth Proportional to 297,862.40, 447,715.20 and 292,332.80

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Solution

The fourth proportional to 297,862.40, 447,715.20 and 292,332.80 is: 439,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,862.40 : 447,715.20 = 292,332.80 : x
  2. Step 2: Convert to fraction form
    297,862.40/447,715.20 = 292,332.80/x
  3. Step 3: Cross multiply
    297,862.40x = 447,715.20 × 292,332.80
  4. Step 4: Simplify right side
    297,862.40x = 130,881,838,018.56
  5. Step 5: Solve for x
    x = 130,881,838,018.56/297,862.40
  6. Step 6: Final answer
    x = 439,403.69

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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.