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Finding the Fourth Proportional to 461,875.20, 692,812.80 and 213,043.20

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Solution

The fourth proportional to 461,875.20, 692,812.80 and 213,043.20 is: 319,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,875.20 : 692,812.80 = 213,043.20 : x
  2. Step 2: Convert to fraction form
    461,875.20/692,812.80 = 213,043.20/x
  3. Step 3: Cross multiply
    461,875.20x = 692,812.80 × 213,043.20
  4. Step 4: Simplify right side
    461,875.20x = 147,599,055,912.96
  5. Step 5: Solve for x
    x = 147,599,055,912.96/461,875.20
  6. Step 6: Final answer
    x = 319,564.80

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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.