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Finding the Fourth Proportional to 310,905.40, 466,358.10 and 86,265.40

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Solution

The fourth proportional to 310,905.40, 466,358.10 and 86,265.40 is: 129,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.40 : 466,358.10 = 86,265.40 : x
  2. Step 2: Convert to fraction form
    310,905.40/466,358.10 = 86,265.40/x
  3. Step 3: Cross multiply
    310,905.40x = 466,358.10 × 86,265.40
  4. Step 4: Simplify right side
    310,905.40x = 40,230,568,039.74
  5. Step 5: Solve for x
    x = 40,230,568,039.74/310,905.40
  6. Step 6: Final answer
    x = 129,398.10

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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.