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Finding the Fourth Proportional to 312,506.46, 431,259.63 and 169,266.06

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Solution

The fourth proportional to 312,506.46, 431,259.63 and 169,266.06 is: 233,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,506.46 : 431,259.63 = 169,266.06 : x
  2. Step 2: Convert to fraction form
    312,506.46/431,259.63 = 169,266.06/x
  3. Step 3: Cross multiply
    312,506.46x = 431,259.63 × 169,266.06
  4. Step 4: Simplify right side
    312,506.46x = 72,997,618,407.16
  5. Step 5: Solve for x
    x = 72,997,618,407.16/312,506.46
  6. Step 6: Final answer
    x = 233,587.55

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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.