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Finding the Fourth Proportional to 210,012.84, 315,020.40 and 52,241.30

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Solution

The fourth proportional to 210,012.84, 315,020.40 and 52,241.30 is: 78,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.84 : 315,020.40 = 52,241.30 : x
  2. Step 2: Convert to fraction form
    210,012.84/315,020.40 = 52,241.30/x
  3. Step 3: Cross multiply
    210,012.84x = 315,020.40 × 52,241.30
  4. Step 4: Simplify right side
    210,012.84x = 16,457,075,222.52
  5. Step 5: Solve for x
    x = 16,457,075,222.52/210,012.84
  6. Step 6: Final answer
    x = 78,362.23

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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.