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Finding the Fourth Proportional to 209,952,273.90, 314,928,410.85 and 171,657,029.10

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Solution

The fourth proportional to 209,952,273.90, 314,928,410.85 and 171,657,029.10 is: 257,485,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,273.90 : 314,928,410.85 = 171,657,029.10 : x
  2. Step 2: Convert to fraction form
    209,952,273.90/314,928,410.85 = 171,657,029.10/x
  3. Step 3: Cross multiply
    209,952,273.90x = 314,928,410.85 × 171,657,029.10
  4. Step 4: Simplify right side
    209,952,273.90x = 54,059,675,385,695,208
  5. Step 5: Solve for x
    x = 54,059,675,385,695,208/209,952,273.90
  6. Step 6: Final answer
    x = 257,485,543.65

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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.