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Finding the Fourth Proportional to 537,728, 742,064.64 and 299,320.32

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Solution

The fourth proportional to 537,728, 742,064.64 and 299,320.32 is: 413,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,728 : 742,064.64 = 299,320.32 : x
  2. Step 2: Convert to fraction form
    537,728/742,064.64 = 299,320.32/x
  3. Step 3: Cross multiply
    537,728x = 742,064.64 × 299,320.32
  4. Step 4: Simplify right side
    537,728x = 222,115,025,505.49
  5. Step 5: Solve for x
    x = 222,115,025,505.49/537,728
  6. Step 6: Final answer
    x = 413,062.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.