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Finding the Fourth Proportional to 702,313.12, 969,184.80 and 380,016.16

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Solution

The fourth proportional to 702,313.12, 969,184.80 and 380,016.16 is: 524,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,313.12 : 969,184.80 = 380,016.16 : x
  2. Step 2: Convert to fraction form
    702,313.12/969,184.80 = 380,016.16/x
  3. Step 3: Cross multiply
    702,313.12x = 969,184.80 × 380,016.16
  4. Step 4: Simplify right side
    702,313.12x = 368,305,886,026.37
  5. Step 5: Solve for x
    x = 368,305,886,026.37/702,313.12
  6. Step 6: Final answer
    x = 524,418.35

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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.