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Finding the Fourth Proportional to 542,495.80, 813,743.70 and 519,459.40

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Solution

The fourth proportional to 542,495.80, 813,743.70 and 519,459.40 is: 779,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,495.80 : 813,743.70 = 519,459.40 : x
  2. Step 2: Convert to fraction form
    542,495.80/813,743.70 = 519,459.40/x
  3. Step 3: Cross multiply
    542,495.80x = 813,743.70 × 519,459.40
  4. Step 4: Simplify right side
    542,495.80x = 422,706,814,155.78
  5. Step 5: Solve for x
    x = 422,706,814,155.78/542,495.80
  6. Step 6: Final answer
    x = 779,189.10

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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.