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Finding the Fourth Proportional to 339,784.80, 509,547.60 and 103,048.80

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Solution

The fourth proportional to 339,784.80, 509,547.60 and 103,048.80 is: 154,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,784.80 : 509,547.60 = 103,048.80 : x
  2. Step 2: Convert to fraction form
    339,784.80/509,547.60 = 103,048.80/x
  3. Step 3: Cross multiply
    339,784.80x = 509,547.60 × 103,048.80
  4. Step 4: Simplify right side
    339,784.80x = 52,508,268,722.88
  5. Step 5: Solve for x
    x = 52,508,268,722.88/339,784.80
  6. Step 6: Final answer
    x = 154,533.90

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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.