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Finding the Fourth Proportional to 476,281.78, 714,422.64 and 143,857.78

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Solution

The fourth proportional to 476,281.78, 714,422.64 and 143,857.78 is: 215,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,281.78 : 714,422.64 = 143,857.78 : x
  2. Step 2: Convert to fraction form
    476,281.78/714,422.64 = 143,857.78/x
  3. Step 3: Cross multiply
    476,281.78x = 714,422.64 × 143,857.78
  4. Step 4: Simplify right side
    476,281.78x = 102,775,254,972.14
  5. Step 5: Solve for x
    x = 102,775,254,972.14/476,281.78
  6. Step 6: Final answer
    x = 215,786.66

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1.5x scale

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.