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Finding the Fourth Proportional to 286,654.71, 429,982.98 and 86,976.75

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Solution

The fourth proportional to 286,654.71, 429,982.98 and 86,976.75 is: 130,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,654.71 : 429,982.98 = 86,976.75 : x
  2. Step 2: Convert to fraction form
    286,654.71/429,982.98 = 86,976.75/x
  3. Step 3: Cross multiply
    286,654.71x = 429,982.98 × 86,976.75
  4. Step 4: Simplify right side
    286,654.71x = 37,398,522,155.72
  5. Step 5: Solve for x
    x = 37,398,522,155.72/286,654.71
  6. Step 6: Final answer
    x = 130,465.40

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1.5x scale

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.