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Finding the Fourth Proportional to 209,952,807.70, 314,929,211.55 and 144,195,841.30

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Solution

The fourth proportional to 209,952,807.70, 314,929,211.55 and 144,195,841.30 is: 216,293,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,807.70 : 314,929,211.55 = 144,195,841.30 : x
  2. Step 2: Convert to fraction form
    209,952,807.70/314,929,211.55 = 144,195,841.30/x
  3. Step 3: Cross multiply
    209,952,807.70x = 314,929,211.55 × 144,195,841.30
  4. Step 4: Simplify right side
    209,952,807.70x = 45,411,482,609,397,936
  5. Step 5: Solve for x
    x = 45,411,482,609,397,936/209,952,807.70
  6. Step 6: Final answer
    x = 216,293,761.95

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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.