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Finding the Fourth Proportional to 702,998, 970,135.80 and 380,708

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Solution

The fourth proportional to 702,998, 970,135.80 and 380,708 is: 525,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,998 : 970,135.80 = 380,708 : x
  2. Step 2: Convert to fraction form
    702,998/970,135.80 = 380,708/x
  3. Step 3: Cross multiply
    702,998x = 970,135.80 × 380,708
  4. Step 4: Simplify right side
    702,998x = 369,338,460,146.40
  5. Step 5: Solve for x
    x = 369,338,460,146.40/702,998
  6. Step 6: Final answer
    x = 525,376.26

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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.