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Finding the Fourth Proportional to 702,407.66, 969,322.49 and 380,117.76

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Solution

The fourth proportional to 702,407.66, 969,322.49 and 380,117.76 is: 524,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,407.66 : 969,322.49 = 380,117.76 : x
  2. Step 2: Convert to fraction form
    702,407.66/969,322.49 = 380,117.76/x
  3. Step 3: Cross multiply
    702,407.66x = 969,322.49 × 380,117.76
  4. Step 4: Simplify right side
    702,407.66x = 368,456,691,715.83
  5. Step 5: Solve for x
    x = 368,456,691,715.83/702,407.66
  6. Step 6: Final answer
    x = 524,562.47

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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.