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Finding the Fourth Proportional to 652,416,002.40, 978,624,003.60 and 394,426,984.80

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Solution

The fourth proportional to 652,416,002.40, 978,624,003.60 and 394,426,984.80 is: 591,640,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,416,002.40 : 978,624,003.60 = 394,426,984.80 : x
  2. Step 2: Convert to fraction form
    652,416,002.40/978,624,003.60 = 394,426,984.80/x
  3. Step 3: Cross multiply
    652,416,002.40x = 978,624,003.60 × 394,426,984.80
  4. Step 4: Simplify right side
    652,416,002.40x = 385,995,714,992,852,352
  5. Step 5: Solve for x
    x = 385,995,714,992,852,352/652,416,002.40
  6. Step 6: Final answer
    x = 591,640,477.20

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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.