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Finding the Fourth Proportional to 613,669.85, 846,428.15 and 409,617.89

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Solution

The fourth proportional to 613,669.85, 846,428.15 and 409,617.89 is: 564,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,669.85 : 846,428.15 = 409,617.89 : x
  2. Step 2: Convert to fraction form
    613,669.85/846,428.15 = 409,617.89/x
  3. Step 3: Cross multiply
    613,669.85x = 846,428.15 × 409,617.89
  4. Step 4: Simplify right side
    613,669.85x = 346,712,106,559.37
  5. Step 5: Solve for x
    x = 346,712,106,559.37/613,669.85
  6. Step 6: Final answer
    x = 564,981.50

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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.