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Finding the Fourth Proportional to 289,871.60, 434,807.40 and 268,876.40

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Solution

The fourth proportional to 289,871.60, 434,807.40 and 268,876.40 is: 403,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,871.60 : 434,807.40 = 268,876.40 : x
  2. Step 2: Convert to fraction form
    289,871.60/434,807.40 = 268,876.40/x
  3. Step 3: Cross multiply
    289,871.60x = 434,807.40 × 268,876.40
  4. Step 4: Simplify right side
    289,871.60x = 116,909,448,405.36
  5. Step 5: Solve for x
    x = 116,909,448,405.36/289,871.60
  6. Step 6: Final answer
    x = 403,314.60

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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.