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Finding the Fourth Proportional to 294,689.42, 406,705.10 and 163,880.12

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Solution

The fourth proportional to 294,689.42, 406,705.10 and 163,880.12 is: 226,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,689.42 : 406,705.10 = 163,880.12 : x
  2. Step 2: Convert to fraction form
    294,689.42/406,705.10 = 163,880.12/x
  3. Step 3: Cross multiply
    294,689.42x = 406,705.10 × 163,880.12
  4. Step 4: Simplify right side
    294,689.42x = 66,650,880,592.61
  5. Step 5: Solve for x
    x = 66,650,880,592.61/294,689.42
  6. Step 6: Final answer
    x = 226,173.31

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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.