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Finding the Fourth Proportional to 511,140.16, 766,710.24 and 323,758

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Solution

The fourth proportional to 511,140.16, 766,710.24 and 323,758 is: 485,637

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,140.16 : 766,710.24 = 323,758 : x
  2. Step 2: Convert to fraction form
    511,140.16/766,710.24 = 323,758/x
  3. Step 3: Cross multiply
    511,140.16x = 766,710.24 × 323,758
  4. Step 4: Simplify right side
    511,140.16x = 248,228,573,881.92
  5. Step 5: Solve for x
    x = 248,228,573,881.92/511,140.16
  6. Step 6: Final answer
    x = 485,637

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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.