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Finding the Fourth Proportional to 439,641.36, 659,461.02 and 288,790.65

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Solution

The fourth proportional to 439,641.36, 659,461.02 and 288,790.65 is: 433,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,641.36 : 659,461.02 = 288,790.65 : x
  2. Step 2: Convert to fraction form
    439,641.36/659,461.02 = 288,790.65/x
  3. Step 3: Cross multiply
    439,641.36x = 659,461.02 × 288,790.65
  4. Step 4: Simplify right side
    439,641.36x = 190,446,176,615.46
  5. Step 5: Solve for x
    x = 190,446,176,615.46/439,641.36
  6. Step 6: Final answer
    x = 433,185.30

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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.