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Finding the Fourth Proportional to 429,396.40, 643,543.80 and 239,856.40

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Solution

The fourth proportional to 429,396.40, 643,543.80 and 239,856.40 is: 359,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,396.40 : 643,543.80 = 239,856.40 : x
  2. Step 2: Convert to fraction form
    429,396.40/643,543.80 = 239,856.40/x
  3. Step 3: Cross multiply
    429,396.40x = 643,543.80 × 239,856.40
  4. Step 4: Simplify right side
    429,396.40x = 154,358,099,110.32
  5. Step 5: Solve for x
    x = 154,358,099,110.32/429,396.40
  6. Step 6: Final answer
    x = 359,476.93

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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.