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Finding the Fourth Proportional to 457,006.80, 630,661.64 and 253,053.32

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Solution

The fourth proportional to 457,006.80, 630,661.64 and 253,053.32 is: 349,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,006.80 : 630,661.64 = 253,053.32 : x
  2. Step 2: Convert to fraction form
    457,006.80/630,661.64 = 253,053.32/x
  3. Step 3: Cross multiply
    457,006.80x = 630,661.64 × 253,053.32
  4. Step 4: Simplify right side
    457,006.80x = 159,591,021,798.65
  5. Step 5: Solve for x
    x = 159,591,021,798.65/457,006.80
  6. Step 6: Final answer
    x = 349,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.