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Finding the Fourth Proportional to 286,419.76, 429,796.08 and 117,957.04

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Solution

The fourth proportional to 286,419.76, 429,796.08 and 117,957.04 is: 177,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,419.76 : 429,796.08 = 117,957.04 : x
  2. Step 2: Convert to fraction form
    286,419.76/429,796.08 = 117,957.04/x
  3. Step 3: Cross multiply
    286,419.76x = 429,796.08 × 117,957.04
  4. Step 4: Simplify right side
    286,419.76x = 50,697,473,400.40
  5. Step 5: Solve for x
    x = 50,697,473,400.40/286,419.76
  6. Step 6: Final answer
    x = 177,004.11

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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.