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Finding the Fourth Proportional to 760,725, 1,049,833.31 and 421,193.25

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Solution

The fourth proportional to 760,725, 1,049,833.31 and 421,193.25 is: 581,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,725 : 1,049,833.31 = 421,193.25 : x
  2. Step 2: Convert to fraction form
    760,725/1,049,833.31 = 421,193.25/x
  3. Step 3: Cross multiply
    760,725x = 1,049,833.31 × 421,193.25
  4. Step 4: Simplify right side
    760,725x = 442,182,701,691.19
  5. Step 5: Solve for x
    x = 442,182,701,691.19/760,725
  6. Step 6: Final answer
    x = 581,264.85

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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.