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Finding the Fourth Proportional to 407,432.40, 611,206.20 and 126,920.40

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Solution

The fourth proportional to 407,432.40, 611,206.20 and 126,920.40 is: 190,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,432.40 : 611,206.20 = 126,920.40 : x
  2. Step 2: Convert to fraction form
    407,432.40/611,206.20 = 126,920.40/x
  3. Step 3: Cross multiply
    407,432.40x = 611,206.20 × 126,920.40
  4. Step 4: Simplify right side
    407,432.40x = 77,574,535,386.48
  5. Step 5: Solve for x
    x = 77,574,535,386.48/407,432.40
  6. Step 6: Final answer
    x = 190,398.54

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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.