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Finding the Fourth Proportional to 665,341,803.40, 998,012,705.10 and 296,876,043.40

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Solution

The fourth proportional to 665,341,803.40, 998,012,705.10 and 296,876,043.40 is: 445,314,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,341,803.40 : 998,012,705.10 = 296,876,043.40 : x
  2. Step 2: Convert to fraction form
    665,341,803.40/998,012,705.10 = 296,876,043.40/x
  3. Step 3: Cross multiply
    665,341,803.40x = 998,012,705.10 × 296,876,043.40
  4. Step 4: Simplify right side
    665,341,803.40x = 296,286,063,153,019,008
  5. Step 5: Solve for x
    x = 296,286,063,153,019,008/665,341,803.40
  6. Step 6: Final answer
    x = 445,314,065.10

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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.