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Finding the Fourth Proportional to 288,828.40, 433,012.20 and 122,479.60

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Solution

The fourth proportional to 288,828.40, 433,012.20 and 122,479.60 is: 183,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,828.40 : 433,012.20 = 122,479.60 : x
  2. Step 2: Convert to fraction form
    288,828.40/433,012.20 = 122,479.60/x
  3. Step 3: Cross multiply
    288,828.40x = 433,012.20 × 122,479.60
  4. Step 4: Simplify right side
    288,828.40x = 53,035,161,051.12
  5. Step 5: Solve for x
    x = 53,035,161,051.12/288,828.40
  6. Step 6: Final answer
    x = 183,621.70

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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.