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Finding the Fourth Proportional to 409,406.70, 614,110.05 and 304,430.70

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Solution

The fourth proportional to 409,406.70, 614,110.05 and 304,430.70 is: 456,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,406.70 : 614,110.05 = 304,430.70 : x
  2. Step 2: Convert to fraction form
    409,406.70/614,110.05 = 304,430.70/x
  3. Step 3: Cross multiply
    409,406.70x = 614,110.05 × 304,430.70
  4. Step 4: Simplify right side
    409,406.70x = 186,953,952,398.54
  5. Step 5: Solve for x
    x = 186,953,952,398.54/409,406.70
  6. Step 6: Final answer
    x = 456,646.05

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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.