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Finding the Fourth Proportional to 346,658.46, 478,391.84 and 203,420.89

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Solution

The fourth proportional to 346,658.46, 478,391.84 and 203,420.89 is: 280,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,658.46 : 478,391.84 = 203,420.89 : x
  2. Step 2: Convert to fraction form
    346,658.46/478,391.84 = 203,420.89/x
  3. Step 3: Cross multiply
    346,658.46x = 478,391.84 × 203,420.89
  4. Step 4: Simplify right side
    346,658.46x = 97,314,893,861.54
  5. Step 5: Solve for x
    x = 97,314,893,861.54/346,658.46
  6. Step 6: Final answer
    x = 280,722.69

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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.