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Finding the Fourth Proportional to 286,293.54, 429,384.90 and 86,567.12

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Solution

The fourth proportional to 286,293.54, 429,384.90 and 86,567.12 is: 129,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,293.54 : 429,384.90 = 86,567.12 : x
  2. Step 2: Convert to fraction form
    286,293.54/429,384.90 = 86,567.12/x
  3. Step 3: Cross multiply
    286,293.54x = 429,384.90 × 86,567.12
  4. Step 4: Simplify right side
    286,293.54x = 37,170,612,017.56
  5. Step 5: Solve for x
    x = 37,170,612,017.56/286,293.54
  6. Step 6: Final answer
    x = 129,833.92

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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.