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Finding the Fourth Proportional to 530,057.72, 731,750.64 and 408,927.08

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Solution

The fourth proportional to 530,057.72, 731,750.64 and 408,927.08 is: 564,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,057.72 : 731,750.64 = 408,927.08 : x
  2. Step 2: Convert to fraction form
    530,057.72/731,750.64 = 408,927.08/x
  3. Step 3: Cross multiply
    530,057.72x = 731,750.64 × 408,927.08
  4. Step 4: Simplify right side
    530,057.72x = 299,232,652,503.33
  5. Step 5: Solve for x
    x = 299,232,652,503.33/530,057.72
  6. Step 6: Final answer
    x = 564,528.43

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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.