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Finding the Fourth Proportional to 313,670,000.40, 470,505,000.60 and 288,587,734.80

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Solution

The fourth proportional to 313,670,000.40, 470,505,000.60 and 288,587,734.80 is: 432,881,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670,000.40 : 470,505,000.60 = 288,587,734.80 : x
  2. Step 2: Convert to fraction form
    313,670,000.40/470,505,000.60 = 288,587,734.80/x
  3. Step 3: Cross multiply
    313,670,000.40x = 470,505,000.60 × 288,587,734.80
  4. Step 4: Simplify right side
    313,670,000.40x = 135,781,972,335,226,656
  5. Step 5: Solve for x
    x = 135,781,972,335,226,656/313,670,000.40
  6. Step 6: Final answer
    x = 432,881,602.20

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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.