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Finding the Fourth Proportional to 502,084, 692,937.36 and 290,116

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Solution

The fourth proportional to 502,084, 692,937.36 and 290,116 is: 400,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,084 : 692,937.36 = 290,116 : x
  2. Step 2: Convert to fraction form
    502,084/692,937.36 = 290,116/x
  3. Step 3: Cross multiply
    502,084x = 692,937.36 × 290,116
  4. Step 4: Simplify right side
    502,084x = 201,032,215,133.76
  5. Step 5: Solve for x
    x = 201,032,215,133.76/502,084
  6. Step 6: Final answer
    x = 400,395.58

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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.