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Finding the Fourth Proportional to 289,781.82, 399,875.94 and 162,440.10

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Solution

The fourth proportional to 289,781.82, 399,875.94 and 162,440.10 is: 224,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.82 : 399,875.94 = 162,440.10 : x
  2. Step 2: Convert to fraction form
    289,781.82/399,875.94 = 162,440.10/x
  3. Step 3: Cross multiply
    289,781.82x = 399,875.94 × 162,440.10
  4. Step 4: Simplify right side
    289,781.82x = 64,955,887,681.19
  5. Step 5: Solve for x
    x = 64,955,887,681.19/289,781.82
  6. Step 6: Final answer
    x = 224,154.46

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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.