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Finding the Fourth Proportional to 400,404,643.40, 600,606,965.10 and 170,381,232.20

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Solution

The fourth proportional to 400,404,643.40, 600,606,965.10 and 170,381,232.20 is: 255,571,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,404,643.40 : 600,606,965.10 = 170,381,232.20 : x
  2. Step 2: Convert to fraction form
    400,404,643.40/600,606,965.10 = 170,381,232.20/x
  3. Step 3: Cross multiply
    400,404,643.40x = 600,606,965.10 × 170,381,232.20
  4. Step 4: Simplify right side
    400,404,643.40x = 102,332,154,781,640,400
  5. Step 5: Solve for x
    x = 102,332,154,781,640,400/400,404,643.40
  6. Step 6: Final answer
    x = 255,571,848.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.