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Finding the Fourth Proportional to 409,848.50, 614,813.75 and 125,535.76

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Solution

The fourth proportional to 409,848.50, 614,813.75 and 125,535.76 is: 188,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,848.50 : 614,813.75 = 125,535.76 : x
  2. Step 2: Convert to fraction form
    409,848.50/614,813.75 = 125,535.76/x
  3. Step 3: Cross multiply
    409,848.50x = 614,813.75 × 125,535.76
  4. Step 4: Simplify right side
    409,848.50x = 77,181,111,678.54
  5. Step 5: Solve for x
    x = 77,181,111,678.54/409,848.50
  6. Step 6: Final answer
    x = 188,316.20

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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.