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Finding the Fourth Proportional to 511,261.60, 766,892.40 and 287,312.80

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Solution

The fourth proportional to 511,261.60, 766,892.40 and 287,312.80 is: 430,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,261.60 : 766,892.40 = 287,312.80 : x
  2. Step 2: Convert to fraction form
    511,261.60/766,892.40 = 287,312.80/x
  3. Step 3: Cross multiply
    511,261.60x = 766,892.40 × 287,312.80
  4. Step 4: Simplify right side
    511,261.60x = 220,338,002,742.72
  5. Step 5: Solve for x
    x = 220,338,002,742.72/511,261.60
  6. Step 6: Final answer
    x = 430,969.20

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1.5x scale

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.