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Finding the Fourth Proportional to 569,348.36, 785,764.66 and 342,989

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Solution

The fourth proportional to 569,348.36, 785,764.66 and 342,989 is: 473,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,348.36 : 785,764.66 = 342,989 : x
  2. Step 2: Convert to fraction form
    569,348.36/785,764.66 = 342,989/x
  3. Step 3: Cross multiply
    569,348.36x = 785,764.66 × 342,989
  4. Step 4: Simplify right side
    569,348.36x = 269,508,634,968.74
  5. Step 5: Solve for x
    x = 269,508,634,968.74/569,348.36
  6. Step 6: Final answer
    x = 473,363.33

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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.