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Finding the Fourth Proportional to 238,442.40, 357,145.20 and 144,784.80

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Solution

The fourth proportional to 238,442.40, 357,145.20 and 144,784.80 is: 216,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,442.40 : 357,145.20 = 144,784.80 : x
  2. Step 2: Convert to fraction form
    238,442.40/357,145.20 = 144,784.80/x
  3. Step 3: Cross multiply
    238,442.40x = 357,145.20 × 144,784.80
  4. Step 4: Simplify right side
    238,442.40x = 51,709,196,352.96
  5. Step 5: Solve for x
    x = 51,709,196,352.96/238,442.40
  6. Step 6: Final answer
    x = 216,862.42

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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.