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Finding the Fourth Proportional to 314,428.40, 471,642.60 and 89,788.40

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Solution

The fourth proportional to 314,428.40, 471,642.60 and 89,788.40 is: 134,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,428.40 : 471,642.60 = 89,788.40 : x
  2. Step 2: Convert to fraction form
    314,428.40/471,642.60 = 89,788.40/x
  3. Step 3: Cross multiply
    314,428.40x = 471,642.60 × 89,788.40
  4. Step 4: Simplify right side
    314,428.40x = 42,348,034,425.84
  5. Step 5: Solve for x
    x = 42,348,034,425.84/314,428.40
  6. Step 6: Final answer
    x = 134,682.60

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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.