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Finding the Fourth Proportional to 472,159.80, 651,578.49 and 257,299.88

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Solution

The fourth proportional to 472,159.80, 651,578.49 and 257,299.88 is: 355,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,159.80 : 651,578.49 = 257,299.88 : x
  2. Step 2: Convert to fraction form
    472,159.80/651,578.49 = 257,299.88/x
  3. Step 3: Cross multiply
    472,159.80x = 651,578.49 × 257,299.88
  4. Step 4: Simplify right side
    472,159.80x = 167,651,064,029.69
  5. Step 5: Solve for x
    x = 167,651,064,029.69/472,159.80
  6. Step 6: Final answer
    x = 355,072.72

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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.