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Finding the Fourth Proportional to 519,275.56, 778,621.14 and 357,359.80

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Solution

The fourth proportional to 519,275.56, 778,621.14 and 357,359.80 is: 535,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,275.56 : 778,621.14 = 357,359.80 : x
  2. Step 2: Convert to fraction form
    519,275.56/778,621.14 = 357,359.80/x
  3. Step 3: Cross multiply
    519,275.56x = 778,621.14 × 357,359.80
  4. Step 4: Simplify right side
    519,275.56x = 278,247,894,866.17
  5. Step 5: Solve for x
    x = 278,247,894,866.17/519,275.56
  6. Step 6: Final answer
    x = 535,838.61

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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.