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Finding the Fourth Proportional to 502,116, 692,981.52 and 290,148

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Solution

The fourth proportional to 502,116, 692,981.52 and 290,148 is: 400,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,116 : 692,981.52 = 290,148 : x
  2. Step 2: Convert to fraction form
    502,116/692,981.52 = 290,148/x
  3. Step 3: Cross multiply
    502,116x = 692,981.52 × 290,148
  4. Step 4: Simplify right side
    502,116x = 201,067,202,064.96
  5. Step 5: Solve for x
    x = 201,067,202,064.96/502,116
  6. Step 6: Final answer
    x = 400,439.74

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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.