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Finding the Fourth Proportional to 514,200.60, 771,300.90 and 361,985.40

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Solution

The fourth proportional to 514,200.60, 771,300.90 and 361,985.40 is: 542,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,200.60 : 771,300.90 = 361,985.40 : x
  2. Step 2: Convert to fraction form
    514,200.60/771,300.90 = 361,985.40/x
  3. Step 3: Cross multiply
    514,200.60x = 771,300.90 × 361,985.40
  4. Step 4: Simplify right side
    514,200.60x = 279,199,664,806.86
  5. Step 5: Solve for x
    x = 279,199,664,806.86/514,200.60
  6. Step 6: Final answer
    x = 542,978.10

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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.