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Finding the Fourth Proportional to 702,409.66, 969,325.24 and 380,119.76

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Solution

The fourth proportional to 702,409.66, 969,325.24 and 380,119.76 is: 524,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,409.66 : 969,325.24 = 380,119.76 : x
  2. Step 2: Convert to fraction form
    702,409.66/969,325.24 = 380,119.76/x
  3. Step 3: Cross multiply
    702,409.66x = 969,325.24 × 380,119.76
  4. Step 4: Simplify right side
    702,409.66x = 368,459,677,590.74
  5. Step 5: Solve for x
    x = 368,459,677,590.74/702,409.66
  6. Step 6: Final answer
    x = 524,565.22

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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.