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Finding the Fourth Proportional to 511,659.70, 767,547.15 and 156,670.90

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Solution

The fourth proportional to 511,659.70, 767,547.15 and 156,670.90 is: 235,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,659.70 : 767,547.15 = 156,670.90 : x
  2. Step 2: Convert to fraction form
    511,659.70/767,547.15 = 156,670.90/x
  3. Step 3: Cross multiply
    511,659.70x = 767,547.15 × 156,670.90
  4. Step 4: Simplify right side
    511,659.70x = 120,252,302,782.94
  5. Step 5: Solve for x
    x = 120,252,302,782.94/511,659.70
  6. Step 6: Final answer
    x = 235,023.99

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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.