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Finding the Fourth Proportional to 310,368, 465,552 and 88,769.28

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Solution

The fourth proportional to 310,368, 465,552 and 88,769.28 is: 133,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,368 : 465,552 = 88,769.28 : x
  2. Step 2: Convert to fraction form
    310,368/465,552 = 88,769.28/x
  3. Step 3: Cross multiply
    310,368x = 465,552 × 88,769.28
  4. Step 4: Simplify right side
    310,368x = 41,326,715,842.56
  5. Step 5: Solve for x
    x = 41,326,715,842.56/310,368
  6. Step 6: Final answer
    x = 133,153.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.