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Finding the Fourth Proportional to 647,804.62, 893,967.86 and 357,434.25

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Solution

The fourth proportional to 647,804.62, 893,967.86 and 357,434.25 is: 493,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,804.62 : 893,967.86 = 357,434.25 : x
  2. Step 2: Convert to fraction form
    647,804.62/893,967.86 = 357,434.25/x
  3. Step 3: Cross multiply
    647,804.62x = 893,967.86 × 357,434.25
  4. Step 4: Simplify right side
    647,804.62x = 319,534,732,122.41
  5. Step 5: Solve for x
    x = 319,534,732,122.41/647,804.62
  6. Step 6: Final answer
    x = 493,257.88

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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.