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Finding the Fourth Proportional to 587,861.50, 810,311.40 and 442,448.74

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Solution

The fourth proportional to 587,861.50, 810,311.40 and 442,448.74 is: 609,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,861.50 : 810,311.40 = 442,448.74 : x
  2. Step 2: Convert to fraction form
    587,861.50/810,311.40 = 442,448.74/x
  3. Step 3: Cross multiply
    587,861.50x = 810,311.40 × 442,448.74
  4. Step 4: Simplify right side
    587,861.50x = 358,521,257,937.64
  5. Step 5: Solve for x
    x = 358,521,257,937.64/587,861.50
  6. Step 6: Final answer
    x = 609,873.68

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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.