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Finding the Fourth Proportional to 522,318.57, 783,478.10 and 344,784.07

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Solution

The fourth proportional to 522,318.57, 783,478.10 and 344,784.07 is: 517,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,318.57 : 783,478.10 = 344,784.07 : x
  2. Step 2: Convert to fraction form
    522,318.57/783,478.10 = 344,784.07/x
  3. Step 3: Cross multiply
    522,318.57x = 783,478.10 × 344,784.07
  4. Step 4: Simplify right side
    522,318.57x = 270,130,768,073.87
  5. Step 5: Solve for x
    x = 270,130,768,073.87/522,318.57
  6. Step 6: Final answer
    x = 517,176.27

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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.