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Finding the Fourth Proportional to 514,021.84, 770,729.76 and 240,165.12

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Solution

The fourth proportional to 514,021.84, 770,729.76 and 240,165.12 is: 360,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,021.84 : 770,729.76 = 240,165.12 : x
  2. Step 2: Convert to fraction form
    514,021.84/770,729.76 = 240,165.12/x
  3. Step 3: Cross multiply
    514,021.84x = 770,729.76 × 240,165.12
  4. Step 4: Simplify right side
    514,021.84x = 185,102,405,297.97
  5. Step 5: Solve for x
    x = 185,102,405,297.97/514,021.84
  6. Step 6: Final answer
    x = 360,106.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.