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Finding the Fourth Proportional to 511,989.80, 767,984.70 and 260,047.40

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Solution

The fourth proportional to 511,989.80, 767,984.70 and 260,047.40 is: 390,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,989.80 : 767,984.70 = 260,047.40 : x
  2. Step 2: Convert to fraction form
    511,989.80/767,984.70 = 260,047.40/x
  3. Step 3: Cross multiply
    511,989.80x = 767,984.70 × 260,047.40
  4. Step 4: Simplify right side
    511,989.80x = 199,712,424,474.78
  5. Step 5: Solve for x
    x = 199,712,424,474.78/511,989.80
  6. Step 6: Final answer
    x = 390,071.10

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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.