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Finding the Fourth Proportional to 290,479.84, 435,667.92 and 77,248.96

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Solution

The fourth proportional to 290,479.84, 435,667.92 and 77,248.96 is: 115,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,479.84 : 435,667.92 = 77,248.96 : x
  2. Step 2: Convert to fraction form
    290,479.84/435,667.92 = 77,248.96/x
  3. Step 3: Cross multiply
    290,479.84x = 435,667.92 × 77,248.96
  4. Step 4: Simplify right side
    290,479.84x = 33,654,893,725.36
  5. Step 5: Solve for x
    x = 33,654,893,725.36/290,479.84
  6. Step 6: Final answer
    x = 115,859.65

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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.