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Finding the Fourth Proportional to 314,476.34, 471,788.30 and 89,840

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Solution

The fourth proportional to 314,476.34, 471,788.30 and 89,840 is: 134,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,476.34 : 471,788.30 = 89,840 : x
  2. Step 2: Convert to fraction form
    314,476.34/471,788.30 = 89,840/x
  3. Step 3: Cross multiply
    314,476.34x = 471,788.30 × 89,840
  4. Step 4: Simplify right side
    314,476.34x = 42,385,460,872
  5. Step 5: Solve for x
    x = 42,385,460,872/314,476.34
  6. Step 6: Final answer
    x = 134,781.08

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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.