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Finding the Fourth Proportional to 288,894.48, 433,346.64 and 78,527.28

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Solution

The fourth proportional to 288,894.48, 433,346.64 and 78,527.28 is: 117,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,894.48 : 433,346.64 = 78,527.28 : x
  2. Step 2: Convert to fraction form
    288,894.48/433,346.64 = 78,527.28/x
  3. Step 3: Cross multiply
    288,894.48x = 433,346.64 × 78,527.28
  4. Step 4: Simplify right side
    288,894.48x = 34,029,532,936.34
  5. Step 5: Solve for x
    x = 34,029,532,936.34/288,894.48
  6. Step 6: Final answer
    x = 117,792.26

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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.