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Finding the Fourth Proportional to 457,369.17, 685,924.11 and 288,636.72

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Solution

The fourth proportional to 457,369.17, 685,924.11 and 288,636.72 is: 432,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,369.17 : 685,924.11 = 288,636.72 : x
  2. Step 2: Convert to fraction form
    457,369.17/685,924.11 = 288,636.72/x
  3. Step 3: Cross multiply
    457,369.17x = 685,924.11 × 288,636.72
  4. Step 4: Simplify right side
    457,369.17x = 197,982,885,279.32
  5. Step 5: Solve for x
    x = 197,982,885,279.32/457,369.17
  6. Step 6: Final answer
    x = 432,873.26

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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.