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Finding the Fourth Proportional to 652,416,001.40, 978,624,002.10 and 394,426,983.80

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Solution

The fourth proportional to 652,416,001.40, 978,624,002.10 and 394,426,983.80 is: 591,640,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,416,001.40 : 978,624,002.10 = 394,426,983.80 : x
  2. Step 2: Convert to fraction form
    652,416,001.40/978,624,002.10 = 394,426,983.80/x
  3. Step 3: Cross multiply
    652,416,001.40x = 978,624,002.10 × 394,426,983.80
  4. Step 4: Simplify right side
    652,416,001.40x = 385,995,713,422,587,904
  5. Step 5: Solve for x
    x = 385,995,713,422,587,904/652,416,001.40
  6. Step 6: Final answer
    x = 591,640,475.70

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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.