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Finding the Fourth Proportional to 370,275.78, 510,977.66 and 200,509.91

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Solution

The fourth proportional to 370,275.78, 510,977.66 and 200,509.91 is: 276,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,275.78 : 510,977.66 = 200,509.91 : x
  2. Step 2: Convert to fraction form
    370,275.78/510,977.66 = 200,509.91/x
  3. Step 3: Cross multiply
    370,275.78x = 510,977.66 × 200,509.91
  4. Step 4: Simplify right side
    370,275.78x = 102,456,084,618.61
  5. Step 5: Solve for x
    x = 102,456,084,618.61/370,275.78
  6. Step 6: Final answer
    x = 276,702.10

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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.