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Finding the Fourth Proportional to 286,225.53, 429,339.78 and 167,813.84

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Solution

The fourth proportional to 286,225.53, 429,339.78 and 167,813.84 is: 251,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,225.53 : 429,339.78 = 167,813.84 : x
  2. Step 2: Convert to fraction form
    286,225.53/429,339.78 = 167,813.84/x
  3. Step 3: Cross multiply
    286,225.53x = 429,339.78 × 167,813.84
  4. Step 4: Simplify right side
    286,225.53x = 72,049,154,999.86
  5. Step 5: Solve for x
    x = 72,049,154,999.86/286,225.53
  6. Step 6: Final answer
    x = 251,721.62

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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.