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Finding the Fourth Proportional to 286,513.57, 429,362.88 and 211,040.20

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Solution

The fourth proportional to 286,513.57, 429,362.88 and 211,040.20 is: 316,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.57 : 429,362.88 = 211,040.20 : x
  2. Step 2: Convert to fraction form
    286,513.57/429,362.88 = 211,040.20/x
  3. Step 3: Cross multiply
    286,513.57x = 429,362.88 × 211,040.20
  4. Step 4: Simplify right side
    286,513.57x = 90,612,828,067.78
  5. Step 5: Solve for x
    x = 90,612,828,067.78/286,513.57
  6. Step 6: Final answer
    x = 316,260.16

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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.