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Finding the Fourth Proportional to 476,490, 657,577.64 and 285,499.28

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Solution

The fourth proportional to 476,490, 657,577.64 and 285,499.28 is: 394,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,490 : 657,577.64 = 285,499.28 : x
  2. Step 2: Convert to fraction form
    476,490/657,577.64 = 285,499.28/x
  3. Step 3: Cross multiply
    476,490x = 657,577.64 × 285,499.28
  4. Step 4: Simplify right side
    476,490x = 187,737,942,764.10
  5. Step 5: Solve for x
    x = 187,737,942,764.10/476,490
  6. Step 6: Final answer
    x = 394,001.85

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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.