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Finding the Fourth Proportional to 529,758.94, 731,062.20 and 288,041.53

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Solution

The fourth proportional to 529,758.94, 731,062.20 and 288,041.53 is: 397,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,758.94 : 731,062.20 = 288,041.53 : x
  2. Step 2: Convert to fraction form
    529,758.94/731,062.20 = 288,041.53/x
  3. Step 3: Cross multiply
    529,758.94x = 731,062.20 × 288,041.53
  4. Step 4: Simplify right side
    529,758.94x = 210,576,274,613.17
  5. Step 5: Solve for x
    x = 210,576,274,613.17/529,758.94
  6. Step 6: Final answer
    x = 397,494.52

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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.