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Finding the Fourth Proportional to 509,296.32, 763,681.68 and 228,573.36

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Solution

The fourth proportional to 509,296.32, 763,681.68 and 228,573.36 is: 342,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,296.32 : 763,681.68 = 228,573.36 : x
  2. Step 2: Convert to fraction form
    509,296.32/763,681.68 = 228,573.36/x
  3. Step 3: Cross multiply
    509,296.32x = 763,681.68 × 228,573.36
  4. Step 4: Simplify right side
    509,296.32x = 174,557,287,568.05
  5. Step 5: Solve for x
    x = 174,557,287,568.05/509,296.32
  6. Step 6: Final answer
    x = 342,742.09

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1.5x scale

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.