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Finding the Fourth Proportional to 281,489.60, 388,359.14 and 160,543.91

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Solution

The fourth proportional to 281,489.60, 388,359.14 and 160,543.91 is: 221,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,489.60 : 388,359.14 = 160,543.91 : x
  2. Step 2: Convert to fraction form
    281,489.60/388,359.14 = 160,543.91/x
  3. Step 3: Cross multiply
    281,489.60x = 388,359.14 × 160,543.91
  4. Step 4: Simplify right side
    281,489.60x = 62,348,692,075.32
  5. Step 5: Solve for x
    x = 62,348,692,075.32/281,489.60
  6. Step 6: Final answer
    x = 221,495.55

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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.