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Finding the Fourth Proportional to 310,416, 428,374.08 and 169,104

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Solution

The fourth proportional to 310,416, 428,374.08 and 169,104 is: 233,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,416 : 428,374.08 = 169,104 : x
  2. Step 2: Convert to fraction form
    310,416/428,374.08 = 169,104/x
  3. Step 3: Cross multiply
    310,416x = 428,374.08 × 169,104
  4. Step 4: Simplify right side
    310,416x = 72,439,770,424.32
  5. Step 5: Solve for x
    x = 72,439,770,424.32/310,416
  6. Step 6: Final answer
    x = 233,363.52

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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.