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Finding the Fourth Proportional to 456,010.80, 684,016.20 and 256,945.20

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Solution

The fourth proportional to 456,010.80, 684,016.20 and 256,945.20 is: 385,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,010.80 : 684,016.20 = 256,945.20 : x
  2. Step 2: Convert to fraction form
    456,010.80/684,016.20 = 256,945.20/x
  3. Step 3: Cross multiply
    456,010.80x = 684,016.20 × 256,945.20
  4. Step 4: Simplify right side
    456,010.80x = 175,754,679,312.24
  5. Step 5: Solve for x
    x = 175,754,679,312.24/456,010.80
  6. Step 6: Final answer
    x = 385,417.80

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Similar ratio
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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.