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Finding the Fourth Proportional to 702,706.24, 969,735.18 and 380,419.12

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Solution

The fourth proportional to 702,706.24, 969,735.18 and 380,419.12 is: 524,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,706.24 : 969,735.18 = 380,419.12 : x
  2. Step 2: Convert to fraction form
    702,706.24/969,735.18 = 380,419.12/x
  3. Step 3: Cross multiply
    702,706.24x = 969,735.18 × 380,419.12
  4. Step 4: Simplify right side
    702,706.24x = 368,905,803,808.64
  5. Step 5: Solve for x
    x = 368,905,803,808.64/702,706.24
  6. Step 6: Final answer
    x = 524,978.69

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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.