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Finding the Fourth Proportional to 310,459.57, 465,688.14 and 85,819.57

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Solution

The fourth proportional to 310,459.57, 465,688.14 and 85,819.57 is: 128,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459.57 : 465,688.14 = 85,819.57 : x
  2. Step 2: Convert to fraction form
    310,459.57/465,688.14 = 85,819.57/x
  3. Step 3: Cross multiply
    310,459.57x = 465,688.14 × 85,819.57
  4. Step 4: Simplify right side
    310,459.57x = 39,965,155,928.90
  5. Step 5: Solve for x
    x = 39,965,155,928.90/310,459.57
  6. Step 6: Final answer
    x = 128,729.02

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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.