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Finding the Fourth Proportional to 522,251.29, 720,670.70 and 289,656.28

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Solution

The fourth proportional to 522,251.29, 720,670.70 and 289,656.28 is: 399,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,251.29 : 720,670.70 = 289,656.28 : x
  2. Step 2: Convert to fraction form
    522,251.29/720,670.70 = 289,656.28/x
  3. Step 3: Cross multiply
    522,251.29x = 720,670.70 × 289,656.28
  4. Step 4: Simplify right side
    522,251.29x = 208,746,792,819.48
  5. Step 5: Solve for x
    x = 208,746,792,819.48/522,251.29
  6. Step 6: Final answer
    x = 399,705.65

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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.