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Finding the Fourth Proportional to 993,145, 1,370,540.10 and 540,439.24

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Solution

The fourth proportional to 993,145, 1,370,540.10 and 540,439.24 is: 745,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,145 : 1,370,540.10 = 540,439.24 : x
  2. Step 2: Convert to fraction form
    993,145/1,370,540.10 = 540,439.24/x
  3. Step 3: Cross multiply
    993,145x = 1,370,540.10 × 540,439.24
  4. Step 4: Simplify right side
    993,145x = 740,693,650,033.52
  5. Step 5: Solve for x
    x = 740,693,650,033.52/993,145
  6. Step 6: Final answer
    x = 745,806.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.