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Finding the Fourth Proportional to 472,245.12, 651,698.76 and 257,385.36

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Solution

The fourth proportional to 472,245.12, 651,698.76 and 257,385.36 is: 355,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,245.12 : 651,698.76 = 257,385.36 : x
  2. Step 2: Convert to fraction form
    472,245.12/651,698.76 = 257,385.36/x
  3. Step 3: Cross multiply
    472,245.12x = 651,698.76 × 257,385.36
  4. Step 4: Simplify right side
    472,245.12x = 167,737,719,954.15
  5. Step 5: Solve for x
    x = 167,737,719,954.15/472,245.12
  6. Step 6: Final answer
    x = 355,192.07

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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.