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Finding the Fourth Proportional to 437,617.10, 657,409.80 and 420,886.55

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Solution

The fourth proportional to 437,617.10, 657,409.80 and 420,886.55 is: 632,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,617.10 : 657,409.80 = 420,886.55 : x
  2. Step 2: Convert to fraction form
    437,617.10/657,409.80 = 420,886.55/x
  3. Step 3: Cross multiply
    437,617.10x = 657,409.80 × 420,886.55
  4. Step 4: Simplify right side
    437,617.10x = 276,694,942,658.19
  5. Step 5: Solve for x
    x = 276,694,942,658.19/437,617.10
  6. Step 6: Final answer
    x = 632,276.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.