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Finding the Fourth Proportional to 442,439.92, 610,547.66 and 248,863.78

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Solution

The fourth proportional to 442,439.92, 610,547.66 and 248,863.78 is: 343,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,439.92 : 610,547.66 = 248,863.78 : x
  2. Step 2: Convert to fraction form
    442,439.92/610,547.66 = 248,863.78/x
  3. Step 3: Cross multiply
    442,439.92x = 610,547.66 × 248,863.78
  4. Step 4: Simplify right side
    442,439.92x = 151,943,197,293.44
  5. Step 5: Solve for x
    x = 151,943,197,293.44/442,439.92
  6. Step 6: Final answer
    x = 343,421.08

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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.