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Finding the Fourth Proportional to 387,332.32, 534,476.16 and 223,964.10

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Solution

The fourth proportional to 387,332.32, 534,476.16 and 223,964.10 is: 309,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,332.32 : 534,476.16 = 223,964.10 : x
  2. Step 2: Convert to fraction form
    387,332.32/534,476.16 = 223,964.10/x
  3. Step 3: Cross multiply
    387,332.32x = 534,476.16 × 223,964.10
  4. Step 4: Simplify right side
    387,332.32x = 119,703,471,026.04
  5. Step 5: Solve for x
    x = 119,703,471,026.04/387,332.32
  6. Step 6: Final answer
    x = 309,045.91

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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.