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Finding the Fourth Proportional to 402,064.36, 602,672.00 and 307,087.71

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Solution

The fourth proportional to 402,064.36, 602,672.00 and 307,087.71 is: 460,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,064.36 : 602,672.00 = 307,087.71 : x
  2. Step 2: Convert to fraction form
    402,064.36/602,672.00 = 307,087.71/x
  3. Step 3: Cross multiply
    402,064.36x = 602,672.00 × 307,087.71
  4. Step 4: Simplify right side
    402,064.36x = 185,073,160,565.66
  5. Step 5: Solve for x
    x = 185,073,160,565.66/402,064.36
  6. Step 6: Final answer
    x = 460,307.30

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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.