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Finding the Fourth Proportional to 817,779.32, 1,226,866.62 and 256,813.80

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Solution

The fourth proportional to 817,779.32, 1,226,866.62 and 256,813.80 is: 385,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,779.32 : 1,226,866.62 = 256,813.80 : x
  2. Step 2: Convert to fraction form
    817,779.32/1,226,866.62 = 256,813.80/x
  3. Step 3: Cross multiply
    817,779.32x = 1,226,866.62 × 256,813.80
  4. Step 4: Simplify right side
    817,779.32x = 315,076,278,775.36
  5. Step 5: Solve for x
    x = 315,076,278,775.36/817,779.32
  6. Step 6: Final answer
    x = 385,282.77

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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.