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Finding the Fourth Proportional to 346,967.90, 478,917.52 and 201,807.82

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Solution

The fourth proportional to 346,967.90, 478,917.52 and 201,807.82 is: 278,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,967.90 : 478,917.52 = 201,807.82 : x
  2. Step 2: Convert to fraction form
    346,967.90/478,917.52 = 201,807.82/x
  3. Step 3: Cross multiply
    346,967.90x = 478,917.52 × 201,807.82
  4. Step 4: Simplify right side
    346,967.90x = 96,649,300,671.01
  5. Step 5: Solve for x
    x = 96,649,300,671.01/346,967.90
  6. Step 6: Final answer
    x = 278,554.01

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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.