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Finding the Fourth Proportional to 647,821.71, 893,988.03 and 357,435.95

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Solution

The fourth proportional to 647,821.71, 893,988.03 and 357,435.95 is: 493,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,821.71 : 893,988.03 = 357,435.95 : x
  2. Step 2: Convert to fraction form
    647,821.71/893,988.03 = 357,435.95/x
  3. Step 3: Cross multiply
    647,821.71x = 893,988.03 × 357,435.95
  4. Step 4: Simplify right side
    647,821.71x = 319,543,457,662.12
  5. Step 5: Solve for x
    x = 319,543,457,662.12/647,821.71
  6. Step 6: Final answer
    x = 493,258.33

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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.