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Finding the Fourth Proportional to 587,472.50, 810,717 and 319,200.50

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Solution

The fourth proportional to 587,472.50, 810,717 and 319,200.50 is: 440,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,472.50 : 810,717 = 319,200.50 : x
  2. Step 2: Convert to fraction form
    587,472.50/810,717 = 319,200.50/x
  3. Step 3: Cross multiply
    587,472.50x = 810,717 × 319,200.50
  4. Step 4: Simplify right side
    587,472.50x = 258,781,271,758.50
  5. Step 5: Solve for x
    x = 258,781,271,758.50/587,472.50
  6. Step 6: Final answer
    x = 440,499.38

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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.