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Finding the Fourth Proportional to 279,781.66, 386,098.40 and 152,457.22

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Solution

The fourth proportional to 279,781.66, 386,098.40 and 152,457.22 is: 210,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,781.66 : 386,098.40 = 152,457.22 : x
  2. Step 2: Convert to fraction form
    279,781.66/386,098.40 = 152,457.22/x
  3. Step 3: Cross multiply
    279,781.66x = 386,098.40 × 152,457.22
  4. Step 4: Simplify right side
    279,781.66x = 58,863,486,017.67
  5. Step 5: Solve for x
    x = 58,863,486,017.67/279,781.66
  6. Step 6: Final answer
    x = 210,390.80

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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.