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Finding the Fourth Proportional to 310,288.29, 465,459.14 and 85,648.76

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Solution

The fourth proportional to 310,288.29, 465,459.14 and 85,648.76 is: 128,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,288.29 : 465,459.14 = 85,648.76 : x
  2. Step 2: Convert to fraction form
    310,288.29/465,459.14 = 85,648.76/x
  3. Step 3: Cross multiply
    310,288.29x = 465,459.14 × 85,648.76
  4. Step 4: Simplify right side
    310,288.29x = 39,865,995,416.13
  5. Step 5: Solve for x
    x = 39,865,995,416.13/310,288.29
  6. Step 6: Final answer
    x = 128,480.50

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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.