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Finding the Fourth Proportional to 368,013.89, 507,770.49 and 214,965.20

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Solution

The fourth proportional to 368,013.89, 507,770.49 and 214,965.20 is: 296,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,013.89 : 507,770.49 = 214,965.20 : x
  2. Step 2: Convert to fraction form
    368,013.89/507,770.49 = 214,965.20/x
  3. Step 3: Cross multiply
    368,013.89x = 507,770.49 × 214,965.20
  4. Step 4: Simplify right side
    368,013.89x = 109,152,984,936.95
  5. Step 5: Solve for x
    x = 109,152,984,936.95/368,013.89
  6. Step 6: Final answer
    x = 296,600.18

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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.