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Finding the Fourth Proportional to 357,140.64, 492,869.52 and 213,924

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Solution

The fourth proportional to 357,140.64, 492,869.52 and 213,924 is: 295,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,140.64 : 492,869.52 = 213,924 : x
  2. Step 2: Convert to fraction form
    357,140.64/492,869.52 = 213,924/x
  3. Step 3: Cross multiply
    357,140.64x = 492,869.52 × 213,924
  4. Step 4: Simplify right side
    357,140.64x = 105,436,619,196.48
  5. Step 5: Solve for x
    x = 105,436,619,196.48/357,140.64
  6. Step 6: Final answer
    x = 295,224.37

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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.