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Finding the Fourth Proportional to 287,666.36, 396,981.54 and 160,349.96

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Solution

The fourth proportional to 287,666.36, 396,981.54 and 160,349.96 is: 221,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,666.36 : 396,981.54 = 160,349.96 : x
  2. Step 2: Convert to fraction form
    287,666.36/396,981.54 = 160,349.96/x
  3. Step 3: Cross multiply
    287,666.36x = 396,981.54 × 160,349.96
  4. Step 4: Simplify right side
    287,666.36x = 63,655,974,059.74
  5. Step 5: Solve for x
    x = 63,655,974,059.74/287,666.36
  6. Step 6: Final answer
    x = 221,284.04

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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.