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Finding the Fourth Proportional to 209,546,280.80, 314,461,138.80 and 117,429,840.80

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Solution

The fourth proportional to 209,546,280.80, 314,461,138.80 and 117,429,840.80 is: 176,224,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,546,280.80 : 314,461,138.80 = 117,429,840.80 : x
  2. Step 2: Convert to fraction form
    209,546,280.80/314,461,138.80 = 117,429,840.80/x
  3. Step 3: Cross multiply
    209,546,280.80x = 314,461,138.80 × 117,429,840.80
  4. Step 4: Simplify right side
    209,546,280.80x = 36,927,121,467,070,704
  5. Step 5: Solve for x
    x = 36,927,121,467,070,704/209,546,280.80
  6. Step 6: Final answer
    x = 176,224,179.81

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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.