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Finding the Fourth Proportional to 486,712.61, 729,050.60 and 391,427.76

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Solution

The fourth proportional to 486,712.61, 729,050.60 and 391,427.76 is: 586,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,712.61 : 729,050.60 = 391,427.76 : x
  2. Step 2: Convert to fraction form
    486,712.61/729,050.60 = 391,427.76/x
  3. Step 3: Cross multiply
    486,712.61x = 729,050.60 × 391,427.76
  4. Step 4: Simplify right side
    486,712.61x = 285,370,641,327.52
  5. Step 5: Solve for x
    x = 285,370,641,327.52/486,712.61
  6. Step 6: Final answer
    x = 586,322.68

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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.