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Finding the Fourth Proportional to 702,397.98, 969,316.06 and 380,114.78

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Solution

The fourth proportional to 702,397.98, 969,316.06 and 380,114.78 is: 524,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,397.98 : 969,316.06 = 380,114.78 : x
  2. Step 2: Convert to fraction form
    702,397.98/969,316.06 = 380,114.78/x
  3. Step 3: Cross multiply
    702,397.98x = 969,316.06 × 380,114.78
  4. Step 4: Simplify right side
    702,397.98x = 368,451,360,897.37
  5. Step 5: Solve for x
    x = 368,451,360,897.37/702,397.98
  6. Step 6: Final answer
    x = 524,562.10

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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.