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Finding the Fourth Proportional to 587,441, 810,670.74 and 319,169

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Solution

The fourth proportional to 587,441, 810,670.74 and 319,169 is: 440,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,441 : 810,670.74 = 319,169 : x
  2. Step 2: Convert to fraction form
    587,441/810,670.74 = 319,169/x
  3. Step 3: Cross multiply
    587,441x = 810,670.74 × 319,169
  4. Step 4: Simplify right side
    587,441x = 258,740,969,415.06
  5. Step 5: Solve for x
    x = 258,740,969,415.06/587,441
  6. Step 6: Final answer
    x = 440,454.39

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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.