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Finding the Fourth Proportional to 346,646.96, 478,375.96 and 203,409.40

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Solution

The fourth proportional to 346,646.96, 478,375.96 and 203,409.40 is: 280,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,646.96 : 478,375.96 = 203,409.40 : x
  2. Step 2: Convert to fraction form
    346,646.96/478,375.96 = 203,409.40/x
  3. Step 3: Cross multiply
    346,646.96x = 478,375.96 × 203,409.40
  4. Step 4: Simplify right side
    346,646.96x = 97,306,166,998.02
  5. Step 5: Solve for x
    x = 97,306,166,998.02/346,646.96
  6. Step 6: Final answer
    x = 280,706.82

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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.