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Finding the Fourth Proportional to 485,312.75, 727,971 and 148,352.11

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Solution

The fourth proportional to 485,312.75, 727,971 and 148,352.11 is: 222,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,312.75 : 727,971 = 148,352.11 : x
  2. Step 2: Convert to fraction form
    485,312.75/727,971 = 148,352.11/x
  3. Step 3: Cross multiply
    485,312.75x = 727,971 × 148,352.11
  4. Step 4: Simplify right side
    485,312.75x = 107,996,033,868.81
  5. Step 5: Solve for x
    x = 107,996,033,868.81/485,312.75
  6. Step 6: Final answer
    x = 222,528.74

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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.