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Finding the Fourth Proportional to 209,952,859.70, 314,929,289.55 and 144,195,893.30

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Solution

The fourth proportional to 209,952,859.70, 314,929,289.55 and 144,195,893.30 is: 216,293,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,859.70 : 314,929,289.55 = 144,195,893.30 : x
  2. Step 2: Convert to fraction form
    209,952,859.70/314,929,289.55 = 144,195,893.30/x
  3. Step 3: Cross multiply
    209,952,859.70x = 314,929,289.55 × 144,195,893.30
  4. Step 4: Simplify right side
    209,952,859.70x = 45,411,510,232,996,608
  5. Step 5: Solve for x
    x = 45,411,510,232,996,608/209,952,859.70
  6. Step 6: Final answer
    x = 216,293,839.95

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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.