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Finding the Fourth Proportional to 561,642.60, 842,463.90 and 505,655.40

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Solution

The fourth proportional to 561,642.60, 842,463.90 and 505,655.40 is: 758,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,642.60 : 842,463.90 = 505,655.40 : x
  2. Step 2: Convert to fraction form
    561,642.60/842,463.90 = 505,655.40/x
  3. Step 3: Cross multiply
    561,642.60x = 842,463.90 × 505,655.40
  4. Step 4: Simplify right side
    561,642.60x = 425,996,420,340.06
  5. Step 5: Solve for x
    x = 425,996,420,340.06/561,642.60
  6. Step 6: Final answer
    x = 758,483.10

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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.