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Finding the Fourth Proportional to 542,699.28, 813,973.47 and 380,100.84

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Solution

The fourth proportional to 542,699.28, 813,973.47 and 380,100.84 is: 570,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,699.28 : 813,973.47 = 380,100.84 : x
  2. Step 2: Convert to fraction form
    542,699.28/813,973.47 = 380,100.84/x
  3. Step 3: Cross multiply
    542,699.28x = 813,973.47 × 380,100.84
  4. Step 4: Simplify right side
    542,699.28x = 309,391,999,684.72
  5. Step 5: Solve for x
    x = 309,391,999,684.72/542,699.28
  6. Step 6: Final answer
    x = 570,098.42

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1.5x scale

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.