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Finding the Fourth Proportional to 287,653.47, 396,963.63 and 160,337.13

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Solution

The fourth proportional to 287,653.47, 396,963.63 and 160,337.13 is: 221,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,653.47 : 396,963.63 = 160,337.13 : x
  2. Step 2: Convert to fraction form
    287,653.47/396,963.63 = 160,337.13/x
  3. Step 3: Cross multiply
    287,653.47x = 396,963.63 × 160,337.13
  4. Step 4: Simplify right side
    287,653.47x = 63,648,009,148.58
  5. Step 5: Solve for x
    x = 63,648,009,148.58/287,653.47
  6. Step 6: Final answer
    x = 221,266.27

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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.