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Finding the Fourth Proportional to 310,808,509.62, 428,917,113.22 and 171,580,415.46

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Solution

The fourth proportional to 310,808,509.62, 428,917,113.22 and 171,580,415.46 is: 236,781,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,808,509.62 : 428,917,113.22 = 171,580,415.46 : x
  2. Step 2: Convert to fraction form
    310,808,509.62/428,917,113.22 = 171,580,415.46/x
  3. Step 3: Cross multiply
    310,808,509.62x = 428,917,113.22 × 171,580,415.46
  4. Step 4: Simplify right side
    310,808,509.62x = 73,593,776,484,191,472
  5. Step 5: Solve for x
    x = 73,593,776,484,191,472/310,808,509.62
  6. Step 6: Final answer
    x = 236,781,729.61

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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.