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Finding the Fourth Proportional to 511,840.35, 767,872.85 and 156,881.07

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Solution

The fourth proportional to 511,840.35, 767,872.85 and 156,881.07 is: 235,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,840.35 : 767,872.85 = 156,881.07 : x
  2. Step 2: Convert to fraction form
    511,840.35/767,872.85 = 156,881.07/x
  3. Step 3: Cross multiply
    511,840.35x = 767,872.85 × 156,881.07
  4. Step 4: Simplify right side
    511,840.35x = 120,464,713,547.54
  5. Step 5: Solve for x
    x = 120,464,713,547.54/511,840.35
  6. Step 6: Final answer
    x = 235,356.03

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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.