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Finding the Fourth Proportional to 567,088.79, 782,582.09 and 312,439.97

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Solution

The fourth proportional to 567,088.79, 782,582.09 and 312,439.97 is: 431,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,088.79 : 782,582.09 = 312,439.97 : x
  2. Step 2: Convert to fraction form
    567,088.79/782,582.09 = 312,439.97/x
  3. Step 3: Cross multiply
    567,088.79x = 782,582.09 × 312,439.97
  4. Step 4: Simplify right side
    567,088.79x = 244,509,919,247.03
  5. Step 5: Solve for x
    x = 244,509,919,247.03/567,088.79
  6. Step 6: Final answer
    x = 431,166.91

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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.