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Finding the Fourth Proportional to 702,802.96, 969,866.78 and 380,513

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Solution

The fourth proportional to 702,802.96, 969,866.78 and 380,513 is: 525,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,802.96 : 969,866.78 = 380,513 : x
  2. Step 2: Convert to fraction form
    702,802.96/969,866.78 = 380,513/x
  3. Step 3: Cross multiply
    702,802.96x = 969,866.78 × 380,513
  4. Step 4: Simplify right side
    702,802.96x = 369,046,918,058.14
  5. Step 5: Solve for x
    x = 369,046,918,058.14/702,802.96
  6. Step 6: Final answer
    x = 525,107.23

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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.