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Finding the Fourth Proportional to 456,009.20, 684,013.80 and 123,585.20

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Solution

The fourth proportional to 456,009.20, 684,013.80 and 123,585.20 is: 185,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,009.20 : 684,013.80 = 123,585.20 : x
  2. Step 2: Convert to fraction form
    456,009.20/684,013.80 = 123,585.20/x
  3. Step 3: Cross multiply
    456,009.20x = 684,013.80 × 123,585.20
  4. Step 4: Simplify right side
    456,009.20x = 84,533,982,275.76
  5. Step 5: Solve for x
    x = 84,533,982,275.76/456,009.20
  6. Step 6: Final answer
    x = 185,377.80

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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.