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Finding the Fourth Proportional to 516,172.59, 774,366.66 and 260,149.05

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Solution

The fourth proportional to 516,172.59, 774,366.66 and 260,149.05 is: 390,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,172.59 : 774,366.66 = 260,149.05 : x
  2. Step 2: Convert to fraction form
    516,172.59/774,366.66 = 260,149.05/x
  3. Step 3: Cross multiply
    516,172.59x = 774,366.66 × 260,149.05
  4. Step 4: Simplify right side
    516,172.59x = 201,450,750,950.67
  5. Step 5: Solve for x
    x = 201,450,750,950.67/516,172.59
  6. Step 6: Final answer
    x = 390,277.89

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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.