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Finding the Fourth Proportional to 472,728.32, 652,369.24 and 257,869.36

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Solution

The fourth proportional to 472,728.32, 652,369.24 and 257,869.36 is: 355,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728.32 : 652,369.24 = 257,869.36 : x
  2. Step 2: Convert to fraction form
    472,728.32/652,369.24 = 257,869.36/x
  3. Step 3: Cross multiply
    472,728.32x = 652,369.24 × 257,869.36
  4. Step 4: Simplify right side
    472,728.32x = 168,226,038,402.49
  5. Step 5: Solve for x
    x = 168,226,038,402.49/472,728.32
  6. Step 6: Final answer
    x = 355,861.99

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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.