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Finding the Fourth Proportional to 238,416.24, 357,595.92 and 78,452.40

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Solution

The fourth proportional to 238,416.24, 357,595.92 and 78,452.40 is: 117,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,416.24 : 357,595.92 = 78,452.40 : x
  2. Step 2: Convert to fraction form
    238,416.24/357,595.92 = 78,452.40/x
  3. Step 3: Cross multiply
    238,416.24x = 357,595.92 × 78,452.40
  4. Step 4: Simplify right side
    238,416.24x = 28,054,258,154.21
  5. Step 5: Solve for x
    x = 28,054,258,154.21/238,416.24
  6. Step 6: Final answer
    x = 117,669.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.