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Finding the Fourth Proportional to 647,798.38, 893,964.86 and 357,409.93

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Solution

The fourth proportional to 647,798.38, 893,964.86 and 357,409.93 is: 493,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,798.38 : 893,964.86 = 357,409.93 : x
  2. Step 2: Convert to fraction form
    647,798.38/893,964.86 = 357,409.93/x
  3. Step 3: Cross multiply
    647,798.38x = 893,964.86 × 357,409.93
  4. Step 4: Simplify right side
    647,798.38x = 319,511,914,013.10
  5. Step 5: Solve for x
    x = 319,511,914,013.10/647,798.38
  6. Step 6: Final answer
    x = 493,227.41

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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.