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Finding the Fourth Proportional to 530,534.40, 730,742.32 and 407,791.75

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Solution

The fourth proportional to 530,534.40, 730,742.32 and 407,791.75 is: 561,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,534.40 : 730,742.32 = 407,791.75 : x
  2. Step 2: Convert to fraction form
    530,534.40/730,742.32 = 407,791.75/x
  3. Step 3: Cross multiply
    530,534.40x = 730,742.32 × 407,791.75
  4. Step 4: Simplify right side
    530,534.40x = 297,990,689,471.86
  5. Step 5: Solve for x
    x = 297,990,689,471.86/530,534.40
  6. Step 6: Final answer
    x = 561,680.24

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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.