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Finding the Fourth Proportional to 567,645.49, 783,349.95 and 312,997.29

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Solution

The fourth proportional to 567,645.49, 783,349.95 and 312,997.29 is: 431,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,645.49 : 783,349.95 = 312,997.29 : x
  2. Step 2: Convert to fraction form
    567,645.49/783,349.95 = 312,997.29/x
  3. Step 3: Cross multiply
    567,645.49x = 783,349.95 × 312,997.29
  4. Step 4: Simplify right side
    567,645.49x = 245,186,411,471.64
  5. Step 5: Solve for x
    x = 245,186,411,471.64/567,645.49
  6. Step 6: Final answer
    x = 431,935.80

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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.