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Finding the Fourth Proportional to 297,875.40, 447,031.80 and 198,002.40

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Solution

The fourth proportional to 297,875.40, 447,031.80 and 198,002.40 is: 297,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,875.40 : 447,031.80 = 198,002.40 : x
  2. Step 2: Convert to fraction form
    297,875.40/447,031.80 = 198,002.40/x
  3. Step 3: Cross multiply
    297,875.40x = 447,031.80 × 198,002.40
  4. Step 4: Simplify right side
    297,875.40x = 88,513,369,276.32
  5. Step 5: Solve for x
    x = 88,513,369,276.32/297,875.40
  6. Step 6: Final answer
    x = 297,148.97

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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.