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Finding the Fourth Proportional to 477,671.90, 715,546.14 and 221,142.87

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Solution

The fourth proportional to 477,671.90, 715,546.14 and 221,142.87 is: 331,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,671.90 : 715,546.14 = 221,142.87 : x
  2. Step 2: Convert to fraction form
    477,671.90/715,546.14 = 221,142.87/x
  3. Step 3: Cross multiply
    477,671.90x = 715,546.14 × 221,142.87
  4. Step 4: Simplify right side
    477,671.90x = 158,237,927,017.02
  5. Step 5: Solve for x
    x = 158,237,927,017.02/477,671.90
  6. Step 6: Final answer
    x = 331,269.08

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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.