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Finding the Fourth Proportional to 357,047.76, 492,741.32 and 213,780.44

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Solution

The fourth proportional to 357,047.76, 492,741.32 and 213,780.44 is: 295,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,047.76 : 492,741.32 = 213,780.44 : x
  2. Step 2: Convert to fraction form
    357,047.76/492,741.32 = 213,780.44/x
  3. Step 3: Cross multiply
    357,047.76x = 492,741.32 × 213,780.44
  4. Step 4: Simplify right side
    357,047.76x = 105,338,452,663.17
  5. Step 5: Solve for x
    x = 105,338,452,663.17/357,047.76
  6. Step 6: Final answer
    x = 295,026.22

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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.