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Finding the Fourth Proportional to 530,274, 731,778.24 and 291,810

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Solution

The fourth proportional to 530,274, 731,778.24 and 291,810 is: 402,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,274 : 731,778.24 = 291,810 : x
  2. Step 2: Convert to fraction form
    530,274/731,778.24 = 291,810/x
  3. Step 3: Cross multiply
    530,274x = 731,778.24 × 291,810
  4. Step 4: Simplify right side
    530,274x = 213,540,208,214.40
  5. Step 5: Solve for x
    x = 213,540,208,214.40/530,274
  6. Step 6: Final answer
    x = 402,697.87

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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.