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Finding the Fourth Proportional to 369,640.28, 510,109.47 and 208,498.54

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Solution

The fourth proportional to 369,640.28, 510,109.47 and 208,498.54 is: 287,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,640.28 : 510,109.47 = 208,498.54 : x
  2. Step 2: Convert to fraction form
    369,640.28/510,109.47 = 208,498.54/x
  3. Step 3: Cross multiply
    369,640.28x = 510,109.47 × 208,498.54
  4. Step 4: Simplify right side
    369,640.28x = 106,357,078,459.90
  5. Step 5: Solve for x
    x = 106,357,078,459.90/369,640.28
  6. Step 6: Final answer
    x = 287,731.30

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1.5x scale

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.