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Finding the Fourth Proportional to 310,452, 428,424.30 and 176,316

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Solution

The fourth proportional to 310,452, 428,424.30 and 176,316 is: 243,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,452 : 428,424.30 = 176,316 : x
  2. Step 2: Convert to fraction form
    310,452/428,424.30 = 176,316/x
  3. Step 3: Cross multiply
    310,452x = 428,424.30 × 176,316
  4. Step 4: Simplify right side
    310,452x = 75,538,058,878.80
  5. Step 5: Solve for x
    x = 75,538,058,878.80/310,452
  6. Step 6: Final answer
    x = 243,316.39

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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.