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Finding the Fourth Proportional to 427,464.75, 638,040.16 and 377,036.31

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Solution

The fourth proportional to 427,464.75, 638,040.16 and 377,036.31 is: 562,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,464.75 : 638,040.16 = 377,036.31 : x
  2. Step 2: Convert to fraction form
    427,464.75/638,040.16 = 377,036.31/x
  3. Step 3: Cross multiply
    427,464.75x = 638,040.16 × 377,036.31
  4. Step 4: Simplify right side
    427,464.75x = 240,564,307,558.21
  5. Step 5: Solve for x
    x = 240,564,307,558.21/427,464.75
  6. Step 6: Final answer
    x = 562,769.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.