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Finding the Fourth Proportional to 390,854.88, 586,316.88 and 213,285.60

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Solution

The fourth proportional to 390,854.88, 586,316.88 and 213,285.60 is: 319,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,854.88 : 586,316.88 = 213,285.60 : x
  2. Step 2: Convert to fraction form
    390,854.88/586,316.88 = 213,285.60/x
  3. Step 3: Cross multiply
    390,854.88x = 586,316.88 × 213,285.60
  4. Step 4: Simplify right side
    390,854.88x = 125,052,947,540.93
  5. Step 5: Solve for x
    x = 125,052,947,540.93/390,854.88
  6. Step 6: Final answer
    x = 319,947.26

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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.