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Finding the Fourth Proportional to 647,746.30, 894,305.91 and 406,359.82

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Solution

The fourth proportional to 647,746.30, 894,305.91 and 406,359.82 is: 561,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,746.30 : 894,305.91 = 406,359.82 : x
  2. Step 2: Convert to fraction form
    647,746.30/894,305.91 = 406,359.82/x
  3. Step 3: Cross multiply
    647,746.30x = 894,305.91 × 406,359.82
  4. Step 4: Simplify right side
    647,746.30x = 363,409,988,612.54
  5. Step 5: Solve for x
    x = 363,409,988,612.54/647,746.30
  6. Step 6: Final answer
    x = 561,037.54

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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.