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Finding the Fourth Proportional to 530,188.26, 731,637.90 and 288,471.81

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Solution

The fourth proportional to 530,188.26, 731,637.90 and 288,471.81 is: 398,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,188.26 : 731,637.90 = 288,471.81 : x
  2. Step 2: Convert to fraction form
    530,188.26/731,637.90 = 288,471.81/x
  3. Step 3: Cross multiply
    530,188.26x = 731,637.90 × 288,471.81
  4. Step 4: Simplify right side
    530,188.26x = 211,056,909,277.60
  5. Step 5: Solve for x
    x = 211,056,909,277.60/530,188.26
  6. Step 6: Final answer
    x = 398,079.18

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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.