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Finding the Fourth Proportional to 346,645.96, 478,374.58 and 203,408.40

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Solution

The fourth proportional to 346,645.96, 478,374.58 and 203,408.40 is: 280,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,645.96 : 478,374.58 = 203,408.40 : x
  2. Step 2: Convert to fraction form
    346,645.96/478,374.58 = 203,408.40/x
  3. Step 3: Cross multiply
    346,645.96x = 478,374.58 × 203,408.40
  4. Step 4: Simplify right side
    346,645.96x = 97,305,407,918.47
  5. Step 5: Solve for x
    x = 97,305,407,918.47/346,645.96
  6. Step 6: Final answer
    x = 280,705.44

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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.