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Finding the Fourth Proportional to 522,359.72, 783,539.76 and 143,284.40

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Solution

The fourth proportional to 522,359.72, 783,539.76 and 143,284.40 is: 214,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,359.72 : 783,539.76 = 143,284.40 : x
  2. Step 2: Convert to fraction form
    522,359.72/783,539.76 = 143,284.40/x
  3. Step 3: Cross multiply
    522,359.72x = 783,539.76 × 143,284.40
  4. Step 4: Simplify right side
    522,359.72x = 112,269,024,387.74
  5. Step 5: Solve for x
    x = 112,269,024,387.74/522,359.72
  6. Step 6: Final answer
    x = 214,926.65

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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.