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Finding the Fourth Proportional to 614,487.36, 847,267.20 and 420,987.84

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Solution

The fourth proportional to 614,487.36, 847,267.20 and 420,987.84 is: 580,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,487.36 : 847,267.20 = 420,987.84 : x
  2. Step 2: Convert to fraction form
    614,487.36/847,267.20 = 420,987.84/x
  3. Step 3: Cross multiply
    614,487.36x = 847,267.20 × 420,987.84
  4. Step 4: Simplify right side
    614,487.36x = 356,689,188,430.85
  5. Step 5: Solve for x
    x = 356,689,188,430.85/614,487.36
  6. Step 6: Final answer
    x = 580,466.27

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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.