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Finding the Fourth Proportional to 587,483, 810,728.70 and 319,211

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Solution

The fourth proportional to 587,483, 810,728.70 and 319,211 is: 440,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,483 : 810,728.70 = 319,211 : x
  2. Step 2: Convert to fraction form
    587,483/810,728.70 = 319,211/x
  3. Step 3: Cross multiply
    587,483x = 810,728.70 × 319,211
  4. Step 4: Simplify right side
    587,483x = 258,793,519,055.70
  5. Step 5: Solve for x
    x = 258,793,519,055.70/587,483
  6. Step 6: Final answer
    x = 440,512.35

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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.