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Finding the Fourth Proportional to 294,382, 406,247.16 and 160,246

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Solution

The fourth proportional to 294,382, 406,247.16 and 160,246 is: 221,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,382 : 406,247.16 = 160,246 : x
  2. Step 2: Convert to fraction form
    294,382/406,247.16 = 160,246/x
  3. Step 3: Cross multiply
    294,382x = 406,247.16 × 160,246
  4. Step 4: Simplify right side
    294,382x = 65,099,482,401.36
  5. Step 5: Solve for x
    x = 65,099,482,401.36/294,382
  6. Step 6: Final answer
    x = 221,139.48

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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.