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Finding the Fourth Proportional to 288,005.67, 397,448.07 and 160,681.29

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Solution

The fourth proportional to 288,005.67, 397,448.07 and 160,681.29 is: 221,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,005.67 : 397,448.07 = 160,681.29 : x
  2. Step 2: Convert to fraction form
    288,005.67/397,448.07 = 160,681.29/x
  3. Step 3: Cross multiply
    288,005.67x = 397,448.07 × 160,681.29
  4. Step 4: Simplify right side
    288,005.67x = 63,862,468,595.61
  5. Step 5: Solve for x
    x = 63,862,468,595.61/288,005.67
  6. Step 6: Final answer
    x = 221,740.32

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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.