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Finding the Fourth Proportional to 289,332.90, 433,999.35 and 259,881.30

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Solution

The fourth proportional to 289,332.90, 433,999.35 and 259,881.30 is: 389,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,332.90 : 433,999.35 = 259,881.30 : x
  2. Step 2: Convert to fraction form
    289,332.90/433,999.35 = 259,881.30/x
  3. Step 3: Cross multiply
    289,332.90x = 433,999.35 × 259,881.30
  4. Step 4: Simplify right side
    289,332.90x = 112,788,315,277.16
  5. Step 5: Solve for x
    x = 112,788,315,277.16/289,332.90
  6. Step 6: Final answer
    x = 389,821.95

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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.