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Finding the Fourth Proportional to 458,581.06, 632,841.87 and 257,377.06

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Solution

The fourth proportional to 458,581.06, 632,841.87 and 257,377.06 is: 355,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,581.06 : 632,841.87 = 257,377.06 : x
  2. Step 2: Convert to fraction form
    458,581.06/632,841.87 = 257,377.06/x
  3. Step 3: Cross multiply
    458,581.06x = 632,841.87 × 257,377.06
  4. Step 4: Simplify right side
    458,581.06x = 162,878,980,884.16
  5. Step 5: Solve for x
    x = 162,878,980,884.16/458,581.06
  6. Step 6: Final answer
    x = 355,180.35

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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.