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Finding the Fourth Proportional to 431,225.60, 646,838.40 and 274,150.40

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Solution

The fourth proportional to 431,225.60, 646,838.40 and 274,150.40 is: 411,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,225.60 : 646,838.40 = 274,150.40 : x
  2. Step 2: Convert to fraction form
    431,225.60/646,838.40 = 274,150.40/x
  3. Step 3: Cross multiply
    431,225.60x = 646,838.40 × 274,150.40
  4. Step 4: Simplify right side
    431,225.60x = 177,331,006,095.36
  5. Step 5: Solve for x
    x = 177,331,006,095.36/431,225.60
  6. Step 6: Final answer
    x = 411,225.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.