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Finding the Fourth Proportional to 659,788.40, 910,511.88 and 357,982.16

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Solution

The fourth proportional to 659,788.40, 910,511.88 and 357,982.16 is: 494,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,788.40 : 910,511.88 = 357,982.16 : x
  2. Step 2: Convert to fraction form
    659,788.40/910,511.88 = 357,982.16/x
  3. Step 3: Cross multiply
    659,788.40x = 910,511.88 × 357,982.16
  4. Step 4: Simplify right side
    659,788.40x = 325,947,009,508.06
  5. Step 5: Solve for x
    x = 325,947,009,508.06/659,788.40
  6. Step 6: Final answer
    x = 494,017.49

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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.