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Finding the Fourth Proportional to 546,944.80, 820,417.20 and 306,812.20

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Solution

The fourth proportional to 546,944.80, 820,417.20 and 306,812.20 is: 460,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,944.80 : 820,417.20 = 306,812.20 : x
  2. Step 2: Convert to fraction form
    546,944.80/820,417.20 = 306,812.20/x
  3. Step 3: Cross multiply
    546,944.80x = 820,417.20 × 306,812.20
  4. Step 4: Simplify right side
    546,944.80x = 251,714,006,049.84
  5. Step 5: Solve for x
    x = 251,714,006,049.84/546,944.80
  6. Step 6: Final answer
    x = 460,218.30

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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.