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Finding the Fourth Proportional to 392,712.50, 589,068.75 and 259,565.21

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Solution

The fourth proportional to 392,712.50, 589,068.75 and 259,565.21 is: 389,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712.50 : 589,068.75 = 259,565.21 : x
  2. Step 2: Convert to fraction form
    392,712.50/589,068.75 = 259,565.21/x
  3. Step 3: Cross multiply
    392,712.50x = 589,068.75 × 259,565.21
  4. Step 4: Simplify right side
    392,712.50x = 152,901,754,035.22
  5. Step 5: Solve for x
    x = 152,901,754,035.22/392,712.50
  6. Step 6: Final answer
    x = 389,347.81

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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.