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Finding the Fourth Proportional to 357,387.86, 493,335.76 and 214,120.22

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Solution

The fourth proportional to 357,387.86, 493,335.76 and 214,120.22 is: 295,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,387.86 : 493,335.76 = 214,120.22 : x
  2. Step 2: Convert to fraction form
    357,387.86/493,335.76 = 214,120.22/x
  3. Step 3: Cross multiply
    357,387.86x = 493,335.76 × 214,120.22
  4. Step 4: Simplify right side
    357,387.86x = 105,633,161,465.07
  5. Step 5: Solve for x
    x = 105,633,161,465.07/357,387.86
  6. Step 6: Final answer
    x = 295,570.09

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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.