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Finding the Fourth Proportional to 522,827.07, 720,925.05 and 361,401.87

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Solution

The fourth proportional to 522,827.07, 720,925.05 and 361,401.87 is: 498,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,827.07 : 720,925.05 = 361,401.87 : x
  2. Step 2: Convert to fraction form
    522,827.07/720,925.05 = 361,401.87/x
  3. Step 3: Cross multiply
    522,827.07x = 720,925.05 × 361,401.87
  4. Step 4: Simplify right side
    522,827.07x = 260,543,661,199.84
  5. Step 5: Solve for x
    x = 260,543,661,199.84/522,827.07
  6. Step 6: Final answer
    x = 498,336.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.