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Finding the Fourth Proportional to 569,297.61, 785,633.13 and 311,179.77

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Solution

The fourth proportional to 569,297.61, 785,633.13 and 311,179.77 is: 429,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,297.61 : 785,633.13 = 311,179.77 : x
  2. Step 2: Convert to fraction form
    569,297.61/785,633.13 = 311,179.77/x
  3. Step 3: Cross multiply
    569,297.61x = 785,633.13 × 311,179.77
  4. Step 4: Simplify right side
    569,297.61x = 244,473,136,697.78
  5. Step 5: Solve for x
    x = 244,473,136,697.78/569,297.61
  6. Step 6: Final answer
    x = 429,429.41

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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.