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Finding the Fourth Proportional to 476,282.78, 714,424.14 and 143,858.78

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Solution

The fourth proportional to 476,282.78, 714,424.14 and 143,858.78 is: 215,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,282.78 : 714,424.14 = 143,858.78 : x
  2. Step 2: Convert to fraction form
    476,282.78/714,424.14 = 143,858.78/x
  3. Step 3: Cross multiply
    476,282.78x = 714,424.14 × 143,858.78
  4. Step 4: Simplify right side
    476,282.78x = 102,776,185,182.95
  5. Step 5: Solve for x
    x = 102,776,185,182.95/476,282.78
  6. Step 6: Final answer
    x = 215,788.16

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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.