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Finding the Fourth Proportional to 288,511.36, 432,767.04 and 91,504

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Solution

The fourth proportional to 288,511.36, 432,767.04 and 91,504 is: 137,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,511.36 : 432,767.04 = 91,504 : x
  2. Step 2: Convert to fraction form
    288,511.36/432,767.04 = 91,504/x
  3. Step 3: Cross multiply
    288,511.36x = 432,767.04 × 91,504
  4. Step 4: Simplify right side
    288,511.36x = 39,599,915,228.16
  5. Step 5: Solve for x
    x = 39,599,915,228.16/288,511.36
  6. Step 6: Final answer
    x = 137,256

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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.