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Finding the Fourth Proportional to 457,775.15, 685,280.33 and 402,479.15

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Solution

The fourth proportional to 457,775.15, 685,280.33 and 402,479.15 is: 602,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,775.15 : 685,280.33 = 402,479.15 : x
  2. Step 2: Convert to fraction form
    457,775.15/685,280.33 = 402,479.15/x
  3. Step 3: Cross multiply
    457,775.15x = 685,280.33 × 402,479.15
  4. Step 4: Simplify right side
    457,775.15x = 275,811,042,717.72
  5. Step 5: Solve for x
    x = 275,811,042,717.72/457,775.15
  6. Step 6: Final answer
    x = 602,503.31

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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.