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Finding the Fourth Proportional to 501,578.38, 692,178.06 and 286,723.06

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Solution

The fourth proportional to 501,578.38, 692,178.06 and 286,723.06 is: 395,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,578.38 : 692,178.06 = 286,723.06 : x
  2. Step 2: Convert to fraction form
    501,578.38/692,178.06 = 286,723.06/x
  3. Step 3: Cross multiply
    501,578.38x = 692,178.06 × 286,723.06
  4. Step 4: Simplify right side
    501,578.38x = 198,463,411,428.06
  5. Step 5: Solve for x
    x = 198,463,411,428.06/501,578.38
  6. Step 6: Final answer
    x = 395,677.76

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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.