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Finding the Fourth Proportional to 366,251,978.40, 549,377,967.60 and 316,934,253.60

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Solution

The fourth proportional to 366,251,978.40, 549,377,967.60 and 316,934,253.60 is: 475,401,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,251,978.40 : 549,377,967.60 = 316,934,253.60 : x
  2. Step 2: Convert to fraction form
    366,251,978.40/549,377,967.60 = 316,934,253.60/x
  3. Step 3: Cross multiply
    366,251,978.40x = 549,377,967.60 × 316,934,253.60
  4. Step 4: Simplify right side
    366,251,978.40x = 174,116,696,105,591,008
  5. Step 5: Solve for x
    x = 174,116,696,105,591,008/366,251,978.40
  6. Step 6: Final answer
    x = 475,401,380.40

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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.