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Finding the Fourth Proportional to 278,397.80, 384,167.80 and 163,681.10

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Solution

The fourth proportional to 278,397.80, 384,167.80 and 163,681.10 is: 225,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,397.80 : 384,167.80 = 163,681.10 : x
  2. Step 2: Convert to fraction form
    278,397.80/384,167.80 = 163,681.10/x
  3. Step 3: Cross multiply
    278,397.80x = 384,167.80 × 163,681.10
  4. Step 4: Simplify right side
    278,397.80x = 62,881,008,088.58
  5. Step 5: Solve for x
    x = 62,881,008,088.58/278,397.80
  6. Step 6: Final answer
    x = 225,867.47

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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.