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Finding the Fourth Proportional to 564,834.50, 779,476.66 and 310,187.51

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Solution

The fourth proportional to 564,834.50, 779,476.66 and 310,187.51 is: 428,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,834.50 : 779,476.66 = 310,187.51 : x
  2. Step 2: Convert to fraction form
    564,834.50/779,476.66 = 310,187.51/x
  3. Step 3: Cross multiply
    564,834.50x = 779,476.66 × 310,187.51
  4. Step 4: Simplify right side
    564,834.50x = 241,783,919,595.67
  5. Step 5: Solve for x
    x = 241,783,919,595.67/564,834.50
  6. Step 6: Final answer
    x = 428,061.53

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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.