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Finding the Fourth Proportional to 613,767.67, 920,061.01 and 314,389.24

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Solution

The fourth proportional to 613,767.67, 920,061.01 and 314,389.24 is: 471,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,767.67 : 920,061.01 = 314,389.24 : x
  2. Step 2: Convert to fraction form
    613,767.67/920,061.01 = 314,389.24/x
  3. Step 3: Cross multiply
    613,767.67x = 920,061.01 × 314,389.24
  4. Step 4: Simplify right side
    613,767.67x = 289,257,281,687.53
  5. Step 5: Solve for x
    x = 289,257,281,687.53/613,767.67
  6. Step 6: Final answer
    x = 471,281.39

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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.