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Finding the Fourth Proportional to 209,952,920.20, 314,929,380.30 and 145,238,715.40

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Solution

The fourth proportional to 209,952,920.20, 314,929,380.30 and 145,238,715.40 is: 217,858,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,920.20 : 314,929,380.30 = 145,238,715.40 : x
  2. Step 2: Convert to fraction form
    209,952,920.20/314,929,380.30 = 145,238,715.40/x
  3. Step 3: Cross multiply
    209,952,920.20x = 314,929,380.30 × 145,238,715.40
  4. Step 4: Simplify right side
    209,952,920.20x = 45,739,938,636,490,072
  5. Step 5: Solve for x
    x = 45,739,938,636,490,072/209,952,920.20
  6. Step 6: Final answer
    x = 217,858,073.10

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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.