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Finding the Fourth Proportional to 561,849.40, 842,752.14 and 309,630.04

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Solution

The fourth proportional to 561,849.40, 842,752.14 and 309,630.04 is: 464,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,849.40 : 842,752.14 = 309,630.04 : x
  2. Step 2: Convert to fraction form
    561,849.40/842,752.14 = 309,630.04/x
  3. Step 3: Cross multiply
    561,849.40x = 842,752.14 × 309,630.04
  4. Step 4: Simplify right side
    561,849.40x = 260,941,378,818.29
  5. Step 5: Solve for x
    x = 260,941,378,818.29/561,849.40
  6. Step 6: Final answer
    x = 464,432.96

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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.