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Finding the Fourth Proportional to 702,410.21, 969,328.49 and 380,120.22

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Solution

The fourth proportional to 702,410.21, 969,328.49 and 380,120.22 is: 524,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,410.21 : 969,328.49 = 380,120.22 : x
  2. Step 2: Convert to fraction form
    702,410.21/969,328.49 = 380,120.22/x
  3. Step 3: Cross multiply
    702,410.21x = 969,328.49 × 380,120.22
  4. Step 4: Simplify right side
    702,410.21x = 368,461,356,970.47
  5. Step 5: Solve for x
    x = 368,461,356,970.47/702,410.21
  6. Step 6: Final answer
    x = 524,567.20

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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.