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Finding the Fourth Proportional to 399,200.40, 597,925.80 and 354,877.20

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Solution

The fourth proportional to 399,200.40, 597,925.80 and 354,877.20 is: 531,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,200.40 : 597,925.80 = 354,877.20 : x
  2. Step 2: Convert to fraction form
    399,200.40/597,925.80 = 354,877.20/x
  3. Step 3: Cross multiply
    399,200.40x = 597,925.80 × 354,877.20
  4. Step 4: Simplify right side
    399,200.40x = 212,190,233,711.76
  5. Step 5: Solve for x
    x = 212,190,233,711.76/399,200.40
  6. Step 6: Final answer
    x = 531,538.13

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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.