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Finding the Fourth Proportional to 426,744.10, 640,211.47 and 160,506.90

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Solution

The fourth proportional to 426,744.10, 640,211.47 and 160,506.90 is: 240,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,744.10 : 640,211.47 = 160,506.90 : x
  2. Step 2: Convert to fraction form
    426,744.10/640,211.47 = 160,506.90/x
  3. Step 3: Cross multiply
    426,744.10x = 640,211.47 × 160,506.90
  4. Step 4: Simplify right side
    426,744.10x = 102,758,358,394.14
  5. Step 5: Solve for x
    x = 102,758,358,394.14/426,744.10
  6. Step 6: Final answer
    x = 240,796.20

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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.