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Finding the Fourth Proportional to 310,073.20, 465,109.80 and 99,732.40

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Solution

The fourth proportional to 310,073.20, 465,109.80 and 99,732.40 is: 149,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,073.20 : 465,109.80 = 99,732.40 : x
  2. Step 2: Convert to fraction form
    310,073.20/465,109.80 = 99,732.40/x
  3. Step 3: Cross multiply
    310,073.20x = 465,109.80 × 99,732.40
  4. Step 4: Simplify right side
    310,073.20x = 46,386,516,617.52
  5. Step 5: Solve for x
    x = 46,386,516,617.52/310,073.20
  6. Step 6: Final answer
    x = 149,598.60

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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.