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Finding the Fourth Proportional to 665,341,805.40, 998,012,708.10 and 296,876,045.40

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Solution

The fourth proportional to 665,341,805.40, 998,012,708.10 and 296,876,045.40 is: 445,314,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,341,805.40 : 998,012,708.10 = 296,876,045.40 : x
  2. Step 2: Convert to fraction form
    665,341,805.40/998,012,708.10 = 296,876,045.40/x
  3. Step 3: Cross multiply
    665,341,805.40x = 998,012,708.10 × 296,876,045.40
  4. Step 4: Simplify right side
    665,341,805.40x = 296,286,066,039,672,512
  5. Step 5: Solve for x
    x = 296,286,066,039,672,512/665,341,805.40
  6. Step 6: Final answer
    x = 445,314,068.10

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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.