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Finding the Fourth Proportional to 314,928,299.93, 472,392,449.90 and 286,206,866.33

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Solution

The fourth proportional to 314,928,299.93, 472,392,449.90 and 286,206,866.33 is: 429,310,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,299.93 : 472,392,449.90 = 286,206,866.33 : x
  2. Step 2: Convert to fraction form
    314,928,299.93/472,392,449.90 = 286,206,866.33/x
  3. Step 3: Cross multiply
    314,928,299.93x = 472,392,449.90 × 286,206,866.33
  4. Step 4: Simplify right side
    314,928,299.93x = 135,201,962,760,037,520
  5. Step 5: Solve for x
    x = 135,201,962,760,037,520/314,928,299.93
  6. Step 6: Final answer
    x = 429,310,299.49

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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.