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Finding the Fourth Proportional to 426,316.80, 638,246.40 and 260,428.80

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Solution

The fourth proportional to 426,316.80, 638,246.40 and 260,428.80 is: 389,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,316.80 : 638,246.40 = 260,428.80 : x
  2. Step 2: Convert to fraction form
    426,316.80/638,246.40 = 260,428.80/x
  3. Step 3: Cross multiply
    426,316.80x = 638,246.40 × 260,428.80
  4. Step 4: Simplify right side
    426,316.80x = 166,217,744,056.32
  5. Step 5: Solve for x
    x = 166,217,744,056.32/426,316.80
  6. Step 6: Final answer
    x = 389,892.55

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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.