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Finding the Fourth Proportional to 334,458.72, 501,716.16 and 85,140

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Solution

The fourth proportional to 334,458.72, 501,716.16 and 85,140 is: 127,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,458.72 : 501,716.16 = 85,140 : x
  2. Step 2: Convert to fraction form
    334,458.72/501,716.16 = 85,140/x
  3. Step 3: Cross multiply
    334,458.72x = 501,716.16 × 85,140
  4. Step 4: Simplify right side
    334,458.72x = 42,716,113,862.40
  5. Step 5: Solve for x
    x = 42,716,113,862.40/334,458.72
  6. Step 6: Final answer
    x = 127,717.15

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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.