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Finding the Fourth Proportional to 719,460.98, 992,830.10 and 397,164.14

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Solution

The fourth proportional to 719,460.98, 992,830.10 and 397,164.14 is: 548,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,460.98 : 992,830.10 = 397,164.14 : x
  2. Step 2: Convert to fraction form
    719,460.98/992,830.10 = 397,164.14/x
  3. Step 3: Cross multiply
    719,460.98x = 992,830.10 × 397,164.14
  4. Step 4: Simplify right side
    719,460.98x = 394,316,505,882.64
  5. Step 5: Solve for x
    x = 394,316,505,882.64/719,460.98
  6. Step 6: Final answer
    x = 548,072.13

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1.5x scale

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.