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Finding the Fourth Proportional to 287,299.75, 430,949.64 and 90,307.75

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Solution

The fourth proportional to 287,299.75, 430,949.64 and 90,307.75 is: 135,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,299.75 : 430,949.64 = 90,307.75 : x
  2. Step 2: Convert to fraction form
    287,299.75/430,949.64 = 90,307.75/x
  3. Step 3: Cross multiply
    287,299.75x = 430,949.64 × 90,307.75
  4. Step 4: Simplify right side
    287,299.75x = 38,918,092,351.71
  5. Step 5: Solve for x
    x = 38,918,092,351.71/287,299.75
  6. Step 6: Final answer
    x = 135,461.63

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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.