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Finding the Fourth Proportional to 398,000.60, 597,000.90 and 148,669.40

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Solution

The fourth proportional to 398,000.60, 597,000.90 and 148,669.40 is: 223,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,000.60 : 597,000.90 = 148,669.40 : x
  2. Step 2: Convert to fraction form
    398,000.60/597,000.90 = 148,669.40/x
  3. Step 3: Cross multiply
    398,000.60x = 597,000.90 × 148,669.40
  4. Step 4: Simplify right side
    398,000.60x = 88,755,765,602.46
  5. Step 5: Solve for x
    x = 88,755,765,602.46/398,000.60
  6. Step 6: Final answer
    x = 223,004.10

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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.