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Finding the Fourth Proportional to 511,466.66, 767,200.02 and 510,728.55

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Solution

The fourth proportional to 511,466.66, 767,200.02 and 510,728.55 is: 766,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,466.66 : 767,200.02 = 510,728.55 : x
  2. Step 2: Convert to fraction form
    511,466.66/767,200.02 = 510,728.55/x
  3. Step 3: Cross multiply
    511,466.66x = 767,200.02 × 510,728.55
  4. Step 4: Simplify right side
    511,466.66x = 391,830,953,774.57
  5. Step 5: Solve for x
    x = 391,830,953,774.57/511,466.66
  6. Step 6: Final answer
    x = 766,092.85

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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.