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Finding the Fourth Proportional to 314,356.49, 471,551.82 and 89,699.66

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Solution

The fourth proportional to 314,356.49, 471,551.82 and 89,699.66 is: 134,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.49 : 471,551.82 = 89,699.66 : x
  2. Step 2: Convert to fraction form
    314,356.49/471,551.82 = 89,699.66/x
  3. Step 3: Cross multiply
    314,356.49x = 471,551.82 × 89,699.66
  4. Step 4: Simplify right side
    314,356.49x = 42,298,037,926.38
  5. Step 5: Solve for x
    x = 42,298,037,926.38/314,356.49
  6. Step 6: Final answer
    x = 134,554.37

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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.