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Finding the Fourth Proportional to 587,861, 810,310.71 and 442,448.23

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Solution

The fourth proportional to 587,861, 810,310.71 and 442,448.23 is: 609,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,861 : 810,310.71 = 442,448.23 : x
  2. Step 2: Convert to fraction form
    587,861/810,310.71 = 442,448.23/x
  3. Step 3: Cross multiply
    587,861x = 810,310.71 × 442,448.23
  4. Step 4: Simplify right side
    587,861x = 358,520,539,389.54
  5. Step 5: Solve for x
    x = 358,520,539,389.54/587,861
  6. Step 6: Final answer
    x = 609,872.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.