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Finding the Fourth Proportional to 398,421.80, 596,952.30 and 187,627.40

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Solution

The fourth proportional to 398,421.80, 596,952.30 and 187,627.40 is: 281,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,421.80 : 596,952.30 = 187,627.40 : x
  2. Step 2: Convert to fraction form
    398,421.80/596,952.30 = 187,627.40/x
  3. Step 3: Cross multiply
    398,421.80x = 596,952.30 × 187,627.40
  4. Step 4: Simplify right side
    398,421.80x = 112,004,607,973.02
  5. Step 5: Solve for x
    x = 112,004,607,973.02/398,421.80
  6. Step 6: Final answer
    x = 281,120.68

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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.