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Finding the Fourth Proportional to 702,697.47, 969,722.81 and 380,407.56

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Solution

The fourth proportional to 702,697.47, 969,722.81 and 380,407.56 is: 524,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,697.47 : 969,722.81 = 380,407.56 : x
  2. Step 2: Convert to fraction form
    702,697.47/969,722.81 = 380,407.56/x
  3. Step 3: Cross multiply
    702,697.47x = 969,722.81 × 380,407.56
  4. Step 4: Simplify right side
    702,697.47x = 368,889,886,126.41
  5. Step 5: Solve for x
    x = 368,889,886,126.41/702,697.47
  6. Step 6: Final answer
    x = 524,962.59

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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.