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Finding the Fourth Proportional to 569,355, 785,709.90 and 343,047.48

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Solution

The fourth proportional to 569,355, 785,709.90 and 343,047.48 is: 473,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,355 : 785,709.90 = 343,047.48 : x
  2. Step 2: Convert to fraction form
    569,355/785,709.90 = 343,047.48/x
  3. Step 3: Cross multiply
    569,355x = 785,709.90 × 343,047.48
  4. Step 4: Simplify right side
    569,355x = 269,535,801,206.05
  5. Step 5: Solve for x
    x = 269,535,801,206.05/569,355
  6. Step 6: Final answer
    x = 473,405.52

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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.