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Finding the Fourth Proportional to 439,497.60, 657,496.80 and 380,983.20

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Solution

The fourth proportional to 439,497.60, 657,496.80 and 380,983.20 is: 569,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,497.60 : 657,496.80 = 380,983.20 : x
  2. Step 2: Convert to fraction form
    439,497.60/657,496.80 = 380,983.20/x
  3. Step 3: Cross multiply
    439,497.60x = 657,496.80 × 380,983.20
  4. Step 4: Simplify right side
    439,497.60x = 250,495,234,853.76
  5. Step 5: Solve for x
    x = 250,495,234,853.76/439,497.60
  6. Step 6: Final answer
    x = 569,958.14

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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.