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Finding the Fourth Proportional to 613,777.68, 920,112.48 and 258,813

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Solution

The fourth proportional to 613,777.68, 920,112.48 and 258,813 is: 387,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,777.68 : 920,112.48 = 258,813 : x
  2. Step 2: Convert to fraction form
    613,777.68/920,112.48 = 258,813/x
  3. Step 3: Cross multiply
    613,777.68x = 920,112.48 × 258,813
  4. Step 4: Simplify right side
    613,777.68x = 238,137,071,286.24
  5. Step 5: Solve for x
    x = 238,137,071,286.24/613,777.68
  6. Step 6: Final answer
    x = 387,985.88

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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.