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Finding the Fourth Proportional to 613,294.38, 920,129.94 and 313,985.10

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Solution

The fourth proportional to 613,294.38, 920,129.94 and 313,985.10 is: 471,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,294.38 : 920,129.94 = 313,985.10 : x
  2. Step 2: Convert to fraction form
    613,294.38/920,129.94 = 313,985.10/x
  3. Step 3: Cross multiply
    613,294.38x = 920,129.94 × 313,985.10
  4. Step 4: Simplify right side
    613,294.38x = 288,907,091,223.89
  5. Step 5: Solve for x
    x = 288,907,091,223.89/613,294.38
  6. Step 6: Final answer
    x = 471,074.09

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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.