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Finding the Fourth Proportional to 282,187.71, 389,423.78 and 154,875.15

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Solution

The fourth proportional to 282,187.71, 389,423.78 and 154,875.15 is: 213,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,187.71 : 389,423.78 = 154,875.15 : x
  2. Step 2: Convert to fraction form
    282,187.71/389,423.78 = 154,875.15/x
  3. Step 3: Cross multiply
    282,187.71x = 389,423.78 × 154,875.15
  4. Step 4: Simplify right side
    282,187.71x = 60,312,064,781.14
  5. Step 5: Solve for x
    x = 60,312,064,781.14/282,187.71
  6. Step 6: Final answer
    x = 213,730.31

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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.