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Finding the Fourth Proportional to 511,990.30, 767,985.45 and 260,047.90

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Solution

The fourth proportional to 511,990.30, 767,985.45 and 260,047.90 is: 390,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,990.30 : 767,985.45 = 260,047.90 : x
  2. Step 2: Convert to fraction form
    511,990.30/767,985.45 = 260,047.90/x
  3. Step 3: Cross multiply
    511,990.30x = 767,985.45 × 260,047.90
  4. Step 4: Simplify right side
    511,990.30x = 199,713,003,503.06
  5. Step 5: Solve for x
    x = 199,713,003,503.06/511,990.30
  6. Step 6: Final answer
    x = 390,071.85

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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.