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Finding the Fourth Proportional to 398,262.96, 597,070.40 and 185,165.28

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Solution

The fourth proportional to 398,262.96, 597,070.40 and 185,165.28 is: 277,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,262.96 : 597,070.40 = 185,165.28 : x
  2. Step 2: Convert to fraction form
    398,262.96/597,070.40 = 185,165.28/x
  3. Step 3: Cross multiply
    398,262.96x = 597,070.40 × 185,165.28
  4. Step 4: Simplify right side
    398,262.96x = 110,556,706,869.89
  5. Step 5: Solve for x
    x = 110,556,706,869.89/398,262.96
  6. Step 6: Final answer
    x = 277,597.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.