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Finding the Fourth Proportional to 347,833.10, 521,749.65 and 214,280.30

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Solution

The fourth proportional to 347,833.10, 521,749.65 and 214,280.30 is: 321,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,833.10 : 521,749.65 = 214,280.30 : x
  2. Step 2: Convert to fraction form
    347,833.10/521,749.65 = 214,280.30/x
  3. Step 3: Cross multiply
    347,833.10x = 521,749.65 × 214,280.30
  4. Step 4: Simplify right side
    347,833.10x = 111,800,671,526.90
  5. Step 5: Solve for x
    x = 111,800,671,526.90/347,833.10
  6. Step 6: Final answer
    x = 321,420.45

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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.