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Finding the Fourth Proportional to 514,749.78, 772,113.74 and 140,772.78

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Solution

The fourth proportional to 514,749.78, 772,113.74 and 140,772.78 is: 211,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,749.78 : 772,113.74 = 140,772.78 : x
  2. Step 2: Convert to fraction form
    514,749.78/772,113.74 = 140,772.78/x
  3. Step 3: Cross multiply
    514,749.78x = 772,113.74 × 140,772.78
  4. Step 4: Simplify right side
    514,749.78x = 108,692,596,952.13
  5. Step 5: Solve for x
    x = 108,692,596,952.13/514,749.78
  6. Step 6: Final answer
    x = 211,156.18

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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.