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Finding the Fourth Proportional to 347,258.70, 520,068.85 and 214,548.30

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Solution

The fourth proportional to 347,258.70, 520,068.85 and 214,548.30 is: 321,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,258.70 : 520,068.85 = 214,548.30 : x
  2. Step 2: Convert to fraction form
    347,258.70/520,068.85 = 214,548.30/x
  3. Step 3: Cross multiply
    347,258.70x = 520,068.85 × 214,548.30
  4. Step 4: Simplify right side
    347,258.70x = 111,579,887,650.46
  5. Step 5: Solve for x
    x = 111,579,887,650.46/347,258.70
  6. Step 6: Final answer
    x = 321,316.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.