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Finding the Fourth Proportional to 520,531.31, 780,441.28 and 277,409.10

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Solution

The fourth proportional to 520,531.31, 780,441.28 and 277,409.10 is: 415,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,531.31 : 780,441.28 = 277,409.10 : x
  2. Step 2: Convert to fraction form
    520,531.31/780,441.28 = 277,409.10/x
  3. Step 3: Cross multiply
    520,531.31x = 780,441.28 × 277,409.10
  4. Step 4: Simplify right side
    520,531.31x = 216,501,515,320.78
  5. Step 5: Solve for x
    x = 216,501,515,320.78/520,531.31
  6. Step 6: Final answer
    x = 415,924.10

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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.