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Finding the Fourth Proportional to 312,582, 431,363.34 and 169,343.04

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Solution

The fourth proportional to 312,582, 431,363.34 and 169,343.04 is: 233,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,582 : 431,363.34 = 169,343.04 : x
  2. Step 2: Convert to fraction form
    312,582/431,363.34 = 169,343.04/x
  3. Step 3: Cross multiply
    312,582x = 431,363.34 × 169,343.04
  4. Step 4: Simplify right side
    312,582x = 73,048,379,340.15
  5. Step 5: Solve for x
    x = 73,048,379,340.15/312,582
  6. Step 6: Final answer
    x = 233,693.49

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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.