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Finding the Fourth Proportional to 320,382, 442,127.16 and 179,070

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Solution

The fourth proportional to 320,382, 442,127.16 and 179,070 is: 247,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,382 : 442,127.16 = 179,070 : x
  2. Step 2: Convert to fraction form
    320,382/442,127.16 = 179,070/x
  3. Step 3: Cross multiply
    320,382x = 442,127.16 × 179,070
  4. Step 4: Simplify right side
    320,382x = 79,171,710,541.20
  5. Step 5: Solve for x
    x = 79,171,710,541.20/320,382
  6. Step 6: Final answer
    x = 247,116.60

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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.