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Finding the Fourth Proportional to 312,306.97, 430,983.52 and 169,066.91

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Solution

The fourth proportional to 312,306.97, 430,983.52 and 169,066.91 is: 233,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.97 : 430,983.52 = 169,066.91 : x
  2. Step 2: Convert to fraction form
    312,306.97/430,983.52 = 169,066.91/x
  3. Step 3: Cross multiply
    312,306.97x = 430,983.52 × 169,066.91
  4. Step 4: Simplify right side
    312,306.97x = 72,865,048,987.07
  5. Step 5: Solve for x
    x = 72,865,048,987.07/312,306.97
  6. Step 6: Final answer
    x = 233,312.28

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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.