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Finding the Fourth Proportional to 409,308.06, 614,045.13 and 128,760.06

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Solution

The fourth proportional to 409,308.06, 614,045.13 and 128,760.06 is: 193,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,308.06 : 614,045.13 = 128,760.06 : x
  2. Step 2: Convert to fraction form
    409,308.06/614,045.13 = 128,760.06/x
  3. Step 3: Cross multiply
    409,308.06x = 614,045.13 × 128,760.06
  4. Step 4: Simplify right side
    409,308.06x = 79,064,487,781.51
  5. Step 5: Solve for x
    x = 79,064,487,781.51/409,308.06
  6. Step 6: Final answer
    x = 193,166.21

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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.