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Finding the Fourth Proportional to 287,742, 397,079.40 and 160,425.36

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Solution

The fourth proportional to 287,742, 397,079.40 and 160,425.36 is: 221,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,742 : 397,079.40 = 160,425.36 : x
  2. Step 2: Convert to fraction form
    287,742/397,079.40 = 160,425.36/x
  3. Step 3: Cross multiply
    287,742x = 397,079.40 × 160,425.36
  4. Step 4: Simplify right side
    287,742x = 63,701,605,693.58
  5. Step 5: Solve for x
    x = 63,701,605,693.58/287,742
  6. Step 6: Final answer
    x = 221,384.45

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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.