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Finding the Fourth Proportional to 414,254.76, 571,317.48 and 285,398.88

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Solution

The fourth proportional to 414,254.76, 571,317.48 and 285,398.88 is: 393,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,254.76 : 571,317.48 = 285,398.88 : x
  2. Step 2: Convert to fraction form
    414,254.76/571,317.48 = 285,398.88/x
  3. Step 3: Cross multiply
    414,254.76x = 571,317.48 × 285,398.88
  4. Step 4: Simplify right side
    414,254.76x = 163,053,368,916.42
  5. Step 5: Solve for x
    x = 163,053,368,916.42/414,254.76
  6. Step 6: Final answer
    x = 393,606.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.