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Finding the Fourth Proportional to 475,403.82, 712,955.16 and 155,481.77

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Solution

The fourth proportional to 475,403.82, 712,955.16 and 155,481.77 is: 233,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,403.82 : 712,955.16 = 155,481.77 : x
  2. Step 2: Convert to fraction form
    475,403.82/712,955.16 = 155,481.77/x
  3. Step 3: Cross multiply
    475,403.82x = 712,955.16 × 155,481.77
  4. Step 4: Simplify right side
    475,403.82x = 110,851,526,642.66
  5. Step 5: Solve for x
    x = 110,851,526,642.66/475,403.82
  6. Step 6: Final answer
    x = 233,173.40

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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.