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Finding the Fourth Proportional to 522,318.90, 783,624.15 and 256,088.10

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Solution

The fourth proportional to 522,318.90, 783,624.15 and 256,088.10 is: 384,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,318.90 : 783,624.15 = 256,088.10 : x
  2. Step 2: Convert to fraction form
    522,318.90/783,624.15 = 256,088.10/x
  3. Step 3: Cross multiply
    522,318.90x = 783,624.15 × 256,088.10
  4. Step 4: Simplify right side
    522,318.90x = 200,676,819,687.62
  5. Step 5: Solve for x
    x = 200,676,819,687.62/522,318.90
  6. Step 6: Final answer
    x = 384,203.63

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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.