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Finding the Fourth Proportional to 278,674.10, 384,570.99 and 163,957.06

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Solution

The fourth proportional to 278,674.10, 384,570.99 and 163,957.06 is: 226,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,674.10 : 384,570.99 = 163,957.06 : x
  2. Step 2: Convert to fraction form
    278,674.10/384,570.99 = 163,957.06/x
  3. Step 3: Cross multiply
    278,674.10x = 384,570.99 × 163,957.06
  4. Step 4: Simplify right side
    278,674.10x = 63,053,128,881.69
  5. Step 5: Solve for x
    x = 63,053,128,881.69/278,674.10
  6. Step 6: Final answer
    x = 226,261.17

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1.5x scale

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.