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Finding the Fourth Proportional to 472,267.46, 651,723.36 and 257,406.86

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Solution

The fourth proportional to 472,267.46, 651,723.36 and 257,406.86 is: 355,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,267.46 : 651,723.36 = 257,406.86 : x
  2. Step 2: Convert to fraction form
    472,267.46/651,723.36 = 257,406.86/x
  3. Step 3: Cross multiply
    472,267.46x = 651,723.36 × 257,406.86
  4. Step 4: Simplify right side
    472,267.46x = 167,758,063,686.25
  5. Step 5: Solve for x
    x = 167,758,063,686.25/472,267.46
  6. Step 6: Final answer
    x = 355,218.34

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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.