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Finding the Fourth Proportional to 287,300.75, 430,951.14 and 90,308.75

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Solution

The fourth proportional to 287,300.75, 430,951.14 and 90,308.75 is: 135,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,300.75 : 430,951.14 = 90,308.75 : x
  2. Step 2: Convert to fraction form
    287,300.75/430,951.14 = 90,308.75/x
  3. Step 3: Cross multiply
    287,300.75x = 430,951.14 × 90,308.75
  4. Step 4: Simplify right side
    287,300.75x = 38,918,658,764.48
  5. Step 5: Solve for x
    x = 38,918,658,764.48/287,300.75
  6. Step 6: Final answer
    x = 135,463.13

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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.