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Finding the Fourth Proportional to 476,497, 657,565.86 and 275,293

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Solution

The fourth proportional to 476,497, 657,565.86 and 275,293 is: 379,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,497 : 657,565.86 = 275,293 : x
  2. Step 2: Convert to fraction form
    476,497/657,565.86 = 275,293/x
  3. Step 3: Cross multiply
    476,497x = 657,565.86 × 275,293
  4. Step 4: Simplify right side
    476,497x = 181,023,278,296.98
  5. Step 5: Solve for x
    x = 181,023,278,296.98/476,497
  6. Step 6: Final answer
    x = 379,904.34

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1.5x scale

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.