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Finding the Fourth Proportional to 312,597.98, 431,385.67 and 169,358.03

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Solution

The fourth proportional to 312,597.98, 431,385.67 and 169,358.03 is: 233,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,597.98 : 431,385.67 = 169,358.03 : x
  2. Step 2: Convert to fraction form
    312,597.98/431,385.67 = 169,358.03/x
  3. Step 3: Cross multiply
    312,597.98x = 431,385.67 × 169,358.03
  4. Step 4: Simplify right side
    312,597.98x = 73,058,626,913.90
  5. Step 5: Solve for x
    x = 73,058,626,913.90/312,597.98
  6. Step 6: Final answer
    x = 233,714.33

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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.