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Finding the Fourth Proportional to 308,006.48, 462,026.04 and 86,407.76

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Solution

The fourth proportional to 308,006.48, 462,026.04 and 86,407.76 is: 129,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,006.48 : 462,026.04 = 86,407.76 : x
  2. Step 2: Convert to fraction form
    308,006.48/462,026.04 = 86,407.76/x
  3. Step 3: Cross multiply
    308,006.48x = 462,026.04 × 86,407.76
  4. Step 4: Simplify right side
    308,006.48x = 39,922,635,178.07
  5. Step 5: Solve for x
    x = 39,922,635,178.07/308,006.48
  6. Step 6: Final answer
    x = 129,616.22

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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.