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Finding the Fourth Proportional to 357,385.87, 493,208.60 and 214,142.84

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Solution

The fourth proportional to 357,385.87, 493,208.60 and 214,142.84 is: 295,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,385.87 : 493,208.60 = 214,142.84 : x
  2. Step 2: Convert to fraction form
    357,385.87/493,208.60 = 214,142.84/x
  3. Step 3: Cross multiply
    357,385.87x = 493,208.60 × 214,142.84
  4. Step 4: Simplify right side
    357,385.87x = 105,617,086,779.67
  5. Step 5: Solve for x
    x = 105,617,086,779.67/357,385.87
  6. Step 6: Final answer
    x = 295,526.76

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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.