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Finding the Fourth Proportional to 587,785.80, 879,345.90 and 509,766.60

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Solution

The fourth proportional to 587,785.80, 879,345.90 and 509,766.60 is: 762,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,785.80 : 879,345.90 = 509,766.60 : x
  2. Step 2: Convert to fraction form
    587,785.80/879,345.90 = 509,766.60/x
  3. Step 3: Cross multiply
    587,785.80x = 879,345.90 × 509,766.60
  4. Step 4: Simplify right side
    587,785.80x = 448,261,169,666.94
  5. Step 5: Solve for x
    x = 448,261,169,666.94/587,785.80
  6. Step 6: Final answer
    x = 762,626.74

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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.