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Finding the Fourth Proportional to 434,574,866.80, 652,149,455.40 and 204,609,708.40

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Solution

The fourth proportional to 434,574,866.80, 652,149,455.40 and 204,609,708.40 is: 307,049,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,574,866.80 : 652,149,455.40 = 204,609,708.40 : x
  2. Step 2: Convert to fraction form
    434,574,866.80/652,149,455.40 = 204,609,708.40/x
  3. Step 3: Cross multiply
    434,574,866.80x = 652,149,455.40 × 204,609,708.40
  4. Step 4: Simplify right side
    434,574,866.80x = 133,436,109,902,612,800
  5. Step 5: Solve for x
    x = 133,436,109,902,612,800/434,574,866.80
  6. Step 6: Final answer
    x = 307,049,763.11

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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.