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Finding the Fourth Proportional to 286,378.66, 429,623.27 and 108,871.83

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Solution

The fourth proportional to 286,378.66, 429,623.27 and 108,871.83 is: 163,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,378.66 : 429,623.27 = 108,871.83 : x
  2. Step 2: Convert to fraction form
    286,378.66/429,623.27 = 108,871.83/x
  3. Step 3: Cross multiply
    286,378.66x = 429,623.27 × 108,871.83
  4. Step 4: Simplify right side
    286,378.66x = 46,773,872,985.67
  5. Step 5: Solve for x
    x = 46,773,872,985.67/286,378.66
  6. Step 6: Final answer
    x = 163,328.76

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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.