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Finding the Fourth Proportional to 497,185.70, 745,808.02 and 155,693

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Solution

The fourth proportional to 497,185.70, 745,808.02 and 155,693 is: 233,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,185.70 : 745,808.02 = 155,693 : x
  2. Step 2: Convert to fraction form
    497,185.70/745,808.02 = 155,693/x
  3. Step 3: Cross multiply
    497,185.70x = 745,808.02 × 155,693
  4. Step 4: Simplify right side
    497,185.70x = 116,117,088,057.86
  5. Step 5: Solve for x
    x = 116,117,088,057.86/497,185.70
  6. Step 6: Final answer
    x = 233,548.73

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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.