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Finding the Fourth Proportional to 289,210.60, 433,556.70 and 257,717.80

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Solution

The fourth proportional to 289,210.60, 433,556.70 and 257,717.80 is: 386,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.60 : 433,556.70 = 257,717.80 : x
  2. Step 2: Convert to fraction form
    289,210.60/433,556.70 = 257,717.80/x
  3. Step 3: Cross multiply
    289,210.60x = 433,556.70 × 257,717.80
  4. Step 4: Simplify right side
    289,210.60x = 111,735,278,899.26
  5. Step 5: Solve for x
    x = 111,735,278,899.26/289,210.60
  6. Step 6: Final answer
    x = 386,345.72

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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.