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Finding the Fourth Proportional to 286,805.76, 429,616.80 and 168,116.64

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Solution

The fourth proportional to 286,805.76, 429,616.80 and 168,116.64 is: 251,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,805.76 : 429,616.80 = 168,116.64 : x
  2. Step 2: Convert to fraction form
    286,805.76/429,616.80 = 168,116.64/x
  3. Step 3: Cross multiply
    286,805.76x = 429,616.80 × 168,116.64
  4. Step 4: Simplify right side
    286,805.76x = 72,225,732,903.55
  5. Step 5: Solve for x
    x = 72,225,732,903.55/286,805.76
  6. Step 6: Final answer
    x = 251,828.04

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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.