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Finding the Fourth Proportional to 223,946.30, 309,045.89 and 123,344.30

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Solution

The fourth proportional to 223,946.30, 309,045.89 and 123,344.30 is: 170,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,946.30 : 309,045.89 = 123,344.30 : x
  2. Step 2: Convert to fraction form
    223,946.30/309,045.89 = 123,344.30/x
  3. Step 3: Cross multiply
    223,946.30x = 309,045.89 × 123,344.30
  4. Step 4: Simplify right side
    223,946.30x = 38,119,050,050.90
  5. Step 5: Solve for x
    x = 38,119,050,050.90/223,946.30
  6. Step 6: Final answer
    x = 170,215.13

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1.5x scale

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.