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Finding the Fourth Proportional to 511,328.40, 766,985.40 and 230,845.20

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Solution

The fourth proportional to 511,328.40, 766,985.40 and 230,845.20 is: 346,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,328.40 : 766,985.40 = 230,845.20 : x
  2. Step 2: Convert to fraction form
    511,328.40/766,985.40 = 230,845.20/x
  3. Step 3: Cross multiply
    511,328.40x = 766,985.40 × 230,845.20
  4. Step 4: Simplify right side
    511,328.40x = 177,054,898,060.08
  5. Step 5: Solve for x
    x = 177,054,898,060.08/511,328.40
  6. Step 6: Final answer
    x = 346,264.55

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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.