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Finding the Fourth Proportional to 205,407.83, 308,365.47 and 97,440.43

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Solution

The fourth proportional to 205,407.83, 308,365.47 and 97,440.43 is: 146,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,407.83 : 308,365.47 = 97,440.43 : x
  2. Step 2: Convert to fraction form
    205,407.83/308,365.47 = 97,440.43/x
  3. Step 3: Cross multiply
    205,407.83x = 308,365.47 × 97,440.43
  4. Step 4: Simplify right side
    205,407.83x = 30,047,263,993.95
  5. Step 5: Solve for x
    x = 30,047,263,993.95/205,407.83
  6. Step 6: Final answer
    x = 146,281.01

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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.