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Finding the Fourth Proportional to 287,347.98, 396,511.82 and 160,035.42

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Solution

The fourth proportional to 287,347.98, 396,511.82 and 160,035.42 is: 220,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,347.98 : 396,511.82 = 160,035.42 : x
  2. Step 2: Convert to fraction form
    287,347.98/396,511.82 = 160,035.42/x
  3. Step 3: Cross multiply
    287,347.98x = 396,511.82 × 160,035.42
  4. Step 4: Simplify right side
    287,347.98x = 63,455,935,648.66
  5. Step 5: Solve for x
    x = 63,455,935,648.66/287,347.98
  6. Step 6: Final answer
    x = 220,833.07

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1.5x scale

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.