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Finding the Fourth Proportional to 478,305,842.40, 717,458,763.60 and 362,664,280.80

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Solution

The fourth proportional to 478,305,842.40, 717,458,763.60 and 362,664,280.80 is: 543,996,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,305,842.40 : 717,458,763.60 = 362,664,280.80 : x
  2. Step 2: Convert to fraction form
    478,305,842.40/717,458,763.60 = 362,664,280.80/x
  3. Step 3: Cross multiply
    478,305,842.40x = 717,458,763.60 × 362,664,280.80
  4. Step 4: Simplify right side
    478,305,842.40x = 260,196,666,504,651,232
  5. Step 5: Solve for x
    x = 260,196,666,504,651,232/478,305,842.40
  6. Step 6: Final answer
    x = 543,996,421.20

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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.