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Finding the Fourth Proportional to 292,005, 402,966.90 and 157,869

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Solution

The fourth proportional to 292,005, 402,966.90 and 157,869 is: 217,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,005 : 402,966.90 = 157,869 : x
  2. Step 2: Convert to fraction form
    292,005/402,966.90 = 157,869/x
  3. Step 3: Cross multiply
    292,005x = 402,966.90 × 157,869
  4. Step 4: Simplify right side
    292,005x = 63,615,981,536.10
  5. Step 5: Solve for x
    x = 63,615,981,536.10/292,005
  6. Step 6: Final answer
    x = 217,859.22

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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.