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Finding the Fourth Proportional to 286,202.40, 429,303.60 and 99,213.92

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Solution

The fourth proportional to 286,202.40, 429,303.60 and 99,213.92 is: 148,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,202.40 : 429,303.60 = 99,213.92 : x
  2. Step 2: Convert to fraction form
    286,202.40/429,303.60 = 99,213.92/x
  3. Step 3: Cross multiply
    286,202.40x = 429,303.60 × 99,213.92
  4. Step 4: Simplify right side
    286,202.40x = 42,592,893,026.11
  5. Step 5: Solve for x
    x = 42,592,893,026.11/286,202.40
  6. Step 6: Final answer
    x = 148,820.88

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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.