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Finding the Fourth Proportional to 516,686.80, 775,030.20 and 264,744.40

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Solution

The fourth proportional to 516,686.80, 775,030.20 and 264,744.40 is: 397,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,686.80 : 775,030.20 = 264,744.40 : x
  2. Step 2: Convert to fraction form
    516,686.80/775,030.20 = 264,744.40/x
  3. Step 3: Cross multiply
    516,686.80x = 775,030.20 × 264,744.40
  4. Step 4: Simplify right side
    516,686.80x = 205,184,905,280.88
  5. Step 5: Solve for x
    x = 205,184,905,280.88/516,686.80
  6. Step 6: Final answer
    x = 397,116.60

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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.