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Finding the Fourth Proportional to 476,269.34, 714,454.74 and 139,311.76

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Solution

The fourth proportional to 476,269.34, 714,454.74 and 139,311.76 is: 208,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,269.34 : 714,454.74 = 139,311.76 : x
  2. Step 2: Convert to fraction form
    476,269.34/714,454.74 = 139,311.76/x
  3. Step 3: Cross multiply
    476,269.34x = 714,454.74 × 139,311.76
  4. Step 4: Simplify right side
    476,269.34x = 99,531,948,023.82
  5. Step 5: Solve for x
    x = 99,531,948,023.82/476,269.34
  6. Step 6: Final answer
    x = 208,982.48

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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.