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Finding the Fourth Proportional to 476,339.85, 657,356.45 and 261,499.50

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Solution

The fourth proportional to 476,339.85, 657,356.45 and 261,499.50 is: 360,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,339.85 : 657,356.45 = 261,499.50 : x
  2. Step 2: Convert to fraction form
    476,339.85/657,356.45 = 261,499.50/x
  3. Step 3: Cross multiply
    476,339.85x = 657,356.45 × 261,499.50
  4. Step 4: Simplify right side
    476,339.85x = 171,898,381,689.28
  5. Step 5: Solve for x
    x = 171,898,381,689.28/476,339.85
  6. Step 6: Final answer
    x = 360,873.40

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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.