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Finding the Fourth Proportional to 511,809.30, 767,686.28 and 156,824.37

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Solution

The fourth proportional to 511,809.30, 767,686.28 and 156,824.37 is: 235,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,809.30 : 767,686.28 = 156,824.37 : x
  2. Step 2: Convert to fraction form
    511,809.30/767,686.28 = 156,824.37/x
  3. Step 3: Cross multiply
    511,809.30x = 767,686.28 × 156,824.37
  4. Step 4: Simplify right side
    511,809.30x = 120,391,916,434.52
  5. Step 5: Solve for x
    x = 120,391,916,434.52/511,809.30
  6. Step 6: Final answer
    x = 235,228.08

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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.