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Finding the Fourth Proportional to 287,421.93, 396,654.50 and 160,097.49

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Solution

The fourth proportional to 287,421.93, 396,654.50 and 160,097.49 is: 220,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,421.93 : 396,654.50 = 160,097.49 : x
  2. Step 2: Convert to fraction form
    287,421.93/396,654.50 = 160,097.49/x
  3. Step 3: Cross multiply
    287,421.93x = 396,654.50 × 160,097.49
  4. Step 4: Simplify right side
    287,421.93x = 63,503,390,247.45
  5. Step 5: Solve for x
    x = 63,503,390,247.45/287,421.93
  6. Step 6: Final answer
    x = 220,941.35

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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.