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Finding the Fourth Proportional to 398,314.95, 597,748.37 and 158,404.28

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Solution

The fourth proportional to 398,314.95, 597,748.37 and 158,404.28 is: 237,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,314.95 : 597,748.37 = 158,404.28 : x
  2. Step 2: Convert to fraction form
    398,314.95/597,748.37 = 158,404.28/x
  3. Step 3: Cross multiply
    398,314.95x = 597,748.37 × 158,404.28
  4. Step 4: Simplify right side
    398,314.95x = 94,685,896,390.26
  5. Step 5: Solve for x
    x = 94,685,896,390.26/398,314.95
  6. Step 6: Final answer
    x = 237,716.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.