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Finding the Fourth Proportional to 346,998.68, 478,673.53 and 211,074.20

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Solution

The fourth proportional to 346,998.68, 478,673.53 and 211,074.20 is: 291,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,998.68 : 478,673.53 = 211,074.20 : x
  2. Step 2: Convert to fraction form
    346,998.68/478,673.53 = 211,074.20/x
  3. Step 3: Cross multiply
    346,998.68x = 478,673.53 × 211,074.20
  4. Step 4: Simplify right side
    346,998.68x = 101,035,629,484.87
  5. Step 5: Solve for x
    x = 101,035,629,484.87/346,998.68
  6. Step 6: Final answer
    x = 291,170.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.