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Finding the Fourth Proportional to 288,594.72, 398,253.36 and 161,271.36

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Solution

The fourth proportional to 288,594.72, 398,253.36 and 161,271.36 is: 222,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,594.72 : 398,253.36 = 161,271.36 : x
  2. Step 2: Convert to fraction form
    288,594.72/398,253.36 = 161,271.36/x
  3. Step 3: Cross multiply
    288,594.72x = 398,253.36 × 161,271.36
  4. Step 4: Simplify right side
    288,594.72x = 64,226,860,991.77
  5. Step 5: Solve for x
    x = 64,226,860,991.77/288,594.72
  6. Step 6: Final answer
    x = 222,550.37

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1.5x scale

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.