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Finding the Fourth Proportional to 652,640,013.40, 978,960,020.10 and 221,818,509.40

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Solution

The fourth proportional to 652,640,013.40, 978,960,020.10 and 221,818,509.40 is: 332,727,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,640,013.40 : 978,960,020.10 = 221,818,509.40 : x
  2. Step 2: Convert to fraction form
    652,640,013.40/978,960,020.10 = 221,818,509.40/x
  3. Step 3: Cross multiply
    652,640,013.40x = 978,960,020.10 × 221,818,509.40
  4. Step 4: Simplify right side
    652,640,013.40x = 217,151,452,420,776,064
  5. Step 5: Solve for x
    x = 217,151,452,420,776,064/652,640,013.40
  6. Step 6: Final answer
    x = 332,727,764.10

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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.