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Finding the Fourth Proportional to 292,028.50, 402,999.33 and 157,892.50

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Solution

The fourth proportional to 292,028.50, 402,999.33 and 157,892.50 is: 217,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,028.50 : 402,999.33 = 157,892.50 : x
  2. Step 2: Convert to fraction form
    292,028.50/402,999.33 = 157,892.50/x
  3. Step 3: Cross multiply
    292,028.50x = 402,999.33 × 157,892.50
  4. Step 4: Simplify right side
    292,028.50x = 63,630,571,712.03
  5. Step 5: Solve for x
    x = 63,630,571,712.03/292,028.50
  6. Step 6: Final answer
    x = 217,891.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.