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Finding the Fourth Proportional to 652,532,117.40, 978,798,176.10 and 394,543,099.80

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Solution

The fourth proportional to 652,532,117.40, 978,798,176.10 and 394,543,099.80 is: 591,814,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,532,117.40 : 978,798,176.10 = 394,543,099.80 : x
  2. Step 2: Convert to fraction form
    652,532,117.40/978,798,176.10 = 394,543,099.80/x
  3. Step 3: Cross multiply
    652,532,117.40x = 978,798,176.10 × 394,543,099.80
  4. Step 4: Simplify right side
    652,532,117.40x = 386,178,066,477,080,320
  5. Step 5: Solve for x
    x = 386,178,066,477,080,320/652,532,117.40
  6. Step 6: Final answer
    x = 591,814,649.70

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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.