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Finding the Fourth Proportional to 287,646.34, 396,965.52 and 160,322.84

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Solution

The fourth proportional to 287,646.34, 396,965.52 and 160,322.84 is: 221,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,646.34 : 396,965.52 = 160,322.84 : x
  2. Step 2: Convert to fraction form
    287,646.34/396,965.52 = 160,322.84/x
  3. Step 3: Cross multiply
    287,646.34x = 396,965.52 × 160,322.84
  4. Step 4: Simplify right side
    287,646.34x = 63,642,639,548.48
  5. Step 5: Solve for x
    x = 63,642,639,548.48/287,646.34
  6. Step 6: Final answer
    x = 221,253.08

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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.