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Finding the Fourth Proportional to 337,068.12, 505,478.16 and 137,280

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Solution

The fourth proportional to 337,068.12, 505,478.16 and 137,280 is: 205,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,068.12 : 505,478.16 = 137,280 : x
  2. Step 2: Convert to fraction form
    337,068.12/505,478.16 = 137,280/x
  3. Step 3: Cross multiply
    337,068.12x = 505,478.16 × 137,280
  4. Step 4: Simplify right side
    337,068.12x = 69,392,041,804.80
  5. Step 5: Solve for x
    x = 69,392,041,804.80/337,068.12
  6. Step 6: Final answer
    x = 205,869.49

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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.