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Finding the Fourth Proportional to 427,242.69, 640,303.52 and 314,394.57

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Solution

The fourth proportional to 427,242.69, 640,303.52 and 314,394.57 is: 471,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,242.69 : 640,303.52 = 314,394.57 : x
  2. Step 2: Convert to fraction form
    427,242.69/640,303.52 = 314,394.57/x
  3. Step 3: Cross multiply
    427,242.69x = 640,303.52 × 314,394.57
  4. Step 4: Simplify right side
    427,242.69x = 201,307,948,267.91
  5. Step 5: Solve for x
    x = 201,307,948,267.91/427,242.69
  6. Step 6: Final answer
    x = 471,179.39

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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.