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Finding the Fourth Proportional to 346,894.81, 478,862.40 and 210,972.42

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Solution

The fourth proportional to 346,894.81, 478,862.40 and 210,972.42 is: 291,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,894.81 : 478,862.40 = 210,972.42 : x
  2. Step 2: Convert to fraction form
    346,894.81/478,862.40 = 210,972.42/x
  3. Step 3: Cross multiply
    346,894.81x = 478,862.40 × 210,972.42
  4. Step 4: Simplify right side
    346,894.81x = 101,026,759,375.01
  5. Step 5: Solve for x
    x = 101,026,759,375.01/346,894.81
  6. Step 6: Final answer
    x = 291,231.68

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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.