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Finding the Fourth Proportional to 578,564.80, 867,458.40 and 262,859.20

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Solution

The fourth proportional to 578,564.80, 867,458.40 and 262,859.20 is: 394,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,564.80 : 867,458.40 = 262,859.20 : x
  2. Step 2: Convert to fraction form
    578,564.80/867,458.40 = 262,859.20/x
  3. Step 3: Cross multiply
    578,564.80x = 867,458.40 × 262,859.20
  4. Step 4: Simplify right side
    578,564.80x = 228,019,421,057.28
  5. Step 5: Solve for x
    x = 228,019,421,057.28/578,564.80
  6. Step 6: Final answer
    x = 394,112.16

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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.