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Finding the Fourth Proportional to 497,403.36, 745,551 and 197,803.80

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Solution

The fourth proportional to 497,403.36, 745,551 and 197,803.80 is: 296,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,403.36 : 745,551 = 197,803.80 : x
  2. Step 2: Convert to fraction form
    497,403.36/745,551 = 197,803.80/x
  3. Step 3: Cross multiply
    497,403.36x = 745,551 × 197,803.80
  4. Step 4: Simplify right side
    497,403.36x = 147,472,820,893.80
  5. Step 5: Solve for x
    x = 147,472,820,893.80/497,403.36
  6. Step 6: Final answer
    x = 296,485.37

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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.