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Finding the Fourth Proportional to 409,068,447.54, 613,688,848.20 and 132,698,081.88

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Solution

The fourth proportional to 409,068,447.54, 613,688,848.20 and 132,698,081.88 is: 199,075,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,068,447.54 : 613,688,848.20 = 132,698,081.88 : x
  2. Step 2: Convert to fraction form
    409,068,447.54/613,688,848.20 = 132,698,081.88/x
  3. Step 3: Cross multiply
    409,068,447.54x = 613,688,848.20 × 132,698,081.88
  4. Step 4: Simplify right side
    409,068,447.54x = 81,435,333,027,286,496
  5. Step 5: Solve for x
    x = 81,435,333,027,286,496/409,068,447.54
  6. Step 6: Final answer
    x = 199,075,077.82

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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.