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Finding the Fourth Proportional to 530,234, 731,722.92 and 291,770

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Solution

The fourth proportional to 530,234, 731,722.92 and 291,770 is: 402,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,234 : 731,722.92 = 291,770 : x
  2. Step 2: Convert to fraction form
    530,234/731,722.92 = 291,770/x
  3. Step 3: Cross multiply
    530,234x = 731,722.92 × 291,770
  4. Step 4: Simplify right side
    530,234x = 213,494,796,368.40
  5. Step 5: Solve for x
    x = 213,494,796,368.40/530,234
  6. Step 6: Final answer
    x = 402,642.60

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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.