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Finding the Fourth Proportional to 511,994.25, 767,962.61 and 157,007.28

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Solution

The fourth proportional to 511,994.25, 767,962.61 and 157,007.28 is: 235,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,994.25 : 767,962.61 = 157,007.28 : x
  2. Step 2: Convert to fraction form
    511,994.25/767,962.61 = 157,007.28/x
  3. Step 3: Cross multiply
    511,994.25x = 767,962.61 × 157,007.28
  4. Step 4: Simplify right side
    511,994.25x = 120,575,719,752.76
  5. Step 5: Solve for x
    x = 120,575,719,752.76/511,994.25
  6. Step 6: Final answer
    x = 235,502.10

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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.