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Finding the Fourth Proportional to 702,971.21, 970,100.79 and 380,681.66

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Solution

The fourth proportional to 702,971.21, 970,100.79 and 380,681.66 is: 525,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,971.21 : 970,100.79 = 380,681.66 : x
  2. Step 2: Convert to fraction form
    702,971.21/970,100.79 = 380,681.66/x
  3. Step 3: Cross multiply
    702,971.21x = 970,100.79 × 380,681.66
  4. Step 4: Simplify right side
    702,971.21x = 369,299,579,104.51
  5. Step 5: Solve for x
    x = 369,299,579,104.51/702,971.21
  6. Step 6: Final answer
    x = 525,340.97

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Double scale
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1.5x scale

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.