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Finding the Fourth Proportional to 294,476, 406,376.88 and 160,340

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Solution

The fourth proportional to 294,476, 406,376.88 and 160,340 is: 221,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,476 : 406,376.88 = 160,340 : x
  2. Step 2: Convert to fraction form
    294,476/406,376.88 = 160,340/x
  3. Step 3: Cross multiply
    294,476x = 406,376.88 × 160,340
  4. Step 4: Simplify right side
    294,476x = 65,158,468,939.20
  5. Step 5: Solve for x
    x = 65,158,468,939.20/294,476
  6. Step 6: Final answer
    x = 221,269.20

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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.