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Finding the Fourth Proportional to 647,681.73, 893,801.62 and 357,286.74

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Solution

The fourth proportional to 647,681.73, 893,801.62 and 357,286.74 is: 493,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,681.73 : 893,801.62 = 357,286.74 : x
  2. Step 2: Convert to fraction form
    647,681.73/893,801.62 = 357,286.74/x
  3. Step 3: Cross multiply
    647,681.73x = 893,801.62 × 357,286.74
  4. Step 4: Simplify right side
    647,681.73x = 319,343,467,016.52
  5. Step 5: Solve for x
    x = 319,343,467,016.52/647,681.73
  6. Step 6: Final answer
    x = 493,056.16

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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.