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Finding the Fourth Proportional to 288,967.84, 433,329.77 and 86,592.65

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Solution

The fourth proportional to 288,967.84, 433,329.77 and 86,592.65 is: 129,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,967.84 : 433,329.77 = 86,592.65 : x
  2. Step 2: Convert to fraction form
    288,967.84/433,329.77 = 86,592.65/x
  3. Step 3: Cross multiply
    288,967.84x = 433,329.77 × 86,592.65
  4. Step 4: Simplify right side
    288,967.84x = 37,523,171,158.02
  5. Step 5: Solve for x
    x = 37,523,171,158.02/288,967.84
  6. Step 6: Final answer
    x = 129,852.41

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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.