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Finding the Fourth Proportional to 282,681, 390,076.92 and 161,794.80

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Solution

The fourth proportional to 282,681, 390,076.92 and 161,794.80 is: 223,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,681 : 390,076.92 = 161,794.80 : x
  2. Step 2: Convert to fraction form
    282,681/390,076.92 = 161,794.80/x
  3. Step 3: Cross multiply
    282,681x = 390,076.92 × 161,794.80
  4. Step 4: Simplify right side
    282,681x = 63,112,417,256.02
  5. Step 5: Solve for x
    x = 63,112,417,256.02/282,681
  6. Step 6: Final answer
    x = 223,263.74

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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.