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Finding the Fourth Proportional to 299,411.10, 448,726.65 and 121,710.54

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Solution

The fourth proportional to 299,411.10, 448,726.65 and 121,710.54 is: 182,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.10 : 448,726.65 = 121,710.54 : x
  2. Step 2: Convert to fraction form
    299,411.10/448,726.65 = 121,710.54/x
  3. Step 3: Cross multiply
    299,411.10x = 448,726.65 × 121,710.54
  4. Step 4: Simplify right side
    299,411.10x = 54,614,762,883.89
  5. Step 5: Solve for x
    x = 54,614,762,883.89/299,411.10
  6. Step 6: Final answer
    x = 182,407.28

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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.