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Finding the Fourth Proportional to 522,792.86, 784,226.77 and 218,881.19

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Solution

The fourth proportional to 522,792.86, 784,226.77 and 218,881.19 is: 328,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,792.86 : 784,226.77 = 218,881.19 : x
  2. Step 2: Convert to fraction form
    522,792.86/784,226.77 = 218,881.19/x
  3. Step 3: Cross multiply
    522,792.86x = 784,226.77 × 218,881.19
  4. Step 4: Simplify right side
    522,792.86x = 171,652,486,686.89
  5. Step 5: Solve for x
    x = 171,652,486,686.89/522,792.86
  6. Step 6: Final answer
    x = 328,337.47

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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.