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Finding the Fourth Proportional to 530,614.90, 730,853.78 and 407,872.50

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Solution

The fourth proportional to 530,614.90, 730,853.78 and 407,872.50 is: 561,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,614.90 : 730,853.78 = 407,872.50 : x
  2. Step 2: Convert to fraction form
    530,614.90/730,853.78 = 407,872.50/x
  3. Step 3: Cross multiply
    530,614.90x = 730,853.78 × 407,872.50
  4. Step 4: Simplify right side
    530,614.90x = 298,095,154,728.78
  5. Step 5: Solve for x
    x = 298,095,154,728.78/530,614.90
  6. Step 6: Final answer
    x = 561,791.90

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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.