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Finding the Fourth Proportional to 346,648.96, 478,378.73 and 203,411.39

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Solution

The fourth proportional to 346,648.96, 478,378.73 and 203,411.39 is: 280,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,648.96 : 478,378.73 = 203,411.39 : x
  2. Step 2: Convert to fraction form
    346,648.96/478,378.73 = 203,411.39/x
  3. Step 3: Cross multiply
    346,648.96x = 478,378.73 × 203,411.39
  4. Step 4: Simplify right side
    346,648.96x = 97,307,681,398.68
  5. Step 5: Solve for x
    x = 97,307,681,398.68/346,648.96
  6. Step 6: Final answer
    x = 280,709.58

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1.5x scale

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.