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Finding the Fourth Proportional to 702,907.60, 970,013 and 380,620.24

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Solution

The fourth proportional to 702,907.60, 970,013 and 380,620.24 is: 525,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,907.60 : 970,013 = 380,620.24 : x
  2. Step 2: Convert to fraction form
    702,907.60/970,013 = 380,620.24/x
  3. Step 3: Cross multiply
    702,907.60x = 970,013 × 380,620.24
  4. Step 4: Simplify right side
    702,907.60x = 369,206,580,863.12
  5. Step 5: Solve for x
    x = 369,206,580,863.12/702,907.60
  6. Step 6: Final answer
    x = 525,256.21

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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.