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Finding the Fourth Proportional to 530,286, 731,794.80 and 291,822

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Solution

The fourth proportional to 530,286, 731,794.80 and 291,822 is: 402,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,286 : 731,794.80 = 291,822 : x
  2. Step 2: Convert to fraction form
    530,286/731,794.80 = 291,822/x
  3. Step 3: Cross multiply
    530,286x = 731,794.80 × 291,822
  4. Step 4: Simplify right side
    530,286x = 213,553,822,125.60
  5. Step 5: Solve for x
    x = 213,553,822,125.60/530,286
  6. Step 6: Final answer
    x = 402,714.43

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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.