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Finding the Fourth Proportional to 296,750.74, 409,290.06 and 255,428.08

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Solution

The fourth proportional to 296,750.74, 409,290.06 and 255,428.08 is: 352,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,750.74 : 409,290.06 = 255,428.08 : x
  2. Step 2: Convert to fraction form
    296,750.74/409,290.06 = 255,428.08/x
  3. Step 3: Cross multiply
    296,750.74x = 409,290.06 × 255,428.08
  4. Step 4: Simplify right side
    296,750.74x = 104,544,174,188.89
  5. Step 5: Solve for x
    x = 104,544,174,188.89/296,750.74
  6. Step 6: Final answer
    x = 352,296.25

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Why These Related Problems?

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