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Finding the Fourth Proportional to 314,345.21, 471,522.13 and 89,705.54

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Solution

The fourth proportional to 314,345.21, 471,522.13 and 89,705.54 is: 134,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345.21 : 471,522.13 = 89,705.54 : x
  2. Step 2: Convert to fraction form
    314,345.21/471,522.13 = 89,705.54/x
  3. Step 3: Cross multiply
    314,345.21x = 471,522.13 × 89,705.54
  4. Step 4: Simplify right side
    314,345.21x = 42,298,148,248.14
  5. Step 5: Solve for x
    x = 42,298,148,248.14/314,345.21
  6. Step 6: Final answer
    x = 134,559.55

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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.