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Finding the Fourth Proportional to 602,090.60, 830,923.44 and 397,783.14

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Solution

The fourth proportional to 602,090.60, 830,923.44 and 397,783.14 is: 548,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,090.60 : 830,923.44 = 397,783.14 : x
  2. Step 2: Convert to fraction form
    602,090.60/830,923.44 = 397,783.14/x
  3. Step 3: Cross multiply
    602,090.60x = 830,923.44 × 397,783.14
  4. Step 4: Simplify right side
    602,090.60x = 330,527,335,062.80
  5. Step 5: Solve for x
    x = 330,527,335,062.80/602,090.60
  6. Step 6: Final answer
    x = 548,966.11

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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.