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Finding the Fourth Proportional to 832,645, 1,148,768.16 and 542,123.92

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Solution

The fourth proportional to 832,645, 1,148,768.16 and 542,123.92 is: 747,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,645 : 1,148,768.16 = 542,123.92 : x
  2. Step 2: Convert to fraction form
    832,645/1,148,768.16 = 542,123.92/x
  3. Step 3: Cross multiply
    832,645x = 1,148,768.16 × 542,123.92
  4. Step 4: Simplify right side
    832,645x = 622,774,698,070.39
  5. Step 5: Solve for x
    x = 622,774,698,070.39/832,645
  6. Step 6: Final answer
    x = 747,947.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.