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Finding the Fourth Proportional to 561,913.20, 775,428.42 and 307,264.20

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Solution

The fourth proportional to 561,913.20, 775,428.42 and 307,264.20 is: 424,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,913.20 : 775,428.42 = 307,264.20 : x
  2. Step 2: Convert to fraction form
    561,913.20/775,428.42 = 307,264.20/x
  3. Step 3: Cross multiply
    561,913.20x = 775,428.42 × 307,264.20
  4. Step 4: Simplify right side
    561,913.20x = 238,261,393,128.56
  5. Step 5: Solve for x
    x = 238,261,393,128.56/561,913.20
  6. Step 6: Final answer
    x = 424,018.15

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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.