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Finding the Fourth Proportional to 288,337.68, 397,800.45 and 180,868.50

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Solution

The fourth proportional to 288,337.68, 397,800.45 and 180,868.50 is: 249,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,337.68 : 397,800.45 = 180,868.50 : x
  2. Step 2: Convert to fraction form
    288,337.68/397,800.45 = 180,868.50/x
  3. Step 3: Cross multiply
    288,337.68x = 397,800.45 × 180,868.50
  4. Step 4: Simplify right side
    288,337.68x = 71,949,570,690.83
  5. Step 5: Solve for x
    x = 71,949,570,690.83/288,337.68
  6. Step 6: Final answer
    x = 249,532.32

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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.