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Finding the Fourth Proportional to 386,427.60, 578,863.80 and 260,456.40

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Solution

The fourth proportional to 386,427.60, 578,863.80 and 260,456.40 is: 390,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,427.60 : 578,863.80 = 260,456.40 : x
  2. Step 2: Convert to fraction form
    386,427.60/578,863.80 = 260,456.40/x
  3. Step 3: Cross multiply
    386,427.60x = 578,863.80 × 260,456.40
  4. Step 4: Simplify right side
    386,427.60x = 150,768,781,438.32
  5. Step 5: Solve for x
    x = 150,768,781,438.32/386,427.60
  6. Step 6: Final answer
    x = 390,160.49

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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.