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Finding the Fourth Proportional to 979,588, 1,469,948.90 and 410,918.17

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Solution

The fourth proportional to 979,588, 1,469,948.90 and 410,918.17 is: 616,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,588 : 1,469,948.90 = 410,918.17 : x
  2. Step 2: Convert to fraction form
    979,588/1,469,948.90 = 410,918.17/x
  3. Step 3: Cross multiply
    979,588x = 1,469,948.90 × 410,918.17
  4. Step 4: Simplify right side
    979,588x = 604,028,711,981.51
  5. Step 5: Solve for x
    x = 604,028,711,981.51/979,588
  6. Step 6: Final answer
    x = 616,615.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.