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Finding the Fourth Proportional to 762,801.76, 1,143,486 and 257,008.48

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Solution

The fourth proportional to 762,801.76, 1,143,486 and 257,008.48 is: 385,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,801.76 : 1,143,486 = 257,008.48 : x
  2. Step 2: Convert to fraction form
    762,801.76/1,143,486 = 257,008.48/x
  3. Step 3: Cross multiply
    762,801.76x = 1,143,486 × 257,008.48
  4. Step 4: Simplify right side
    762,801.76x = 293,885,598,761.28
  5. Step 5: Solve for x
    x = 293,885,598,761.28/762,801.76
  6. Step 6: Final answer
    x = 385,271.26

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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.