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Finding the Fourth Proportional to 469,871.92, 648,417.85 and 255,012.13

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Solution

The fourth proportional to 469,871.92, 648,417.85 and 255,012.13 is: 351,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,871.92 : 648,417.85 = 255,012.13 : x
  2. Step 2: Convert to fraction form
    469,871.92/648,417.85 = 255,012.13/x
  3. Step 3: Cross multiply
    469,871.92x = 648,417.85 × 255,012.13
  4. Step 4: Simplify right side
    469,871.92x = 165,354,417,058.52
  5. Step 5: Solve for x
    x = 165,354,417,058.52/469,871.92
  6. Step 6: Final answer
    x = 351,913.81

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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.