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Finding the Fourth Proportional to 288,143.72, 397,675.95 and 160,845.74

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Solution

The fourth proportional to 288,143.72, 397,675.95 and 160,845.74 is: 221,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,143.72 : 397,675.95 = 160,845.74 : x
  2. Step 2: Convert to fraction form
    288,143.72/397,675.95 = 160,845.74/x
  3. Step 3: Cross multiply
    288,143.72x = 397,675.95 × 160,845.74
  4. Step 4: Simplify right side
    288,143.72x = 63,964,482,457.95
  5. Step 5: Solve for x
    x = 63,964,482,457.95/288,143.72
  6. Step 6: Final answer
    x = 221,988.12

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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.