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Finding the Fourth Proportional to 238,304.16, 357,500.25 and 78,389.10

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Solution

The fourth proportional to 238,304.16, 357,500.25 and 78,389.10 is: 117,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,304.16 : 357,500.25 = 78,389.10 : x
  2. Step 2: Convert to fraction form
    238,304.16/357,500.25 = 78,389.10/x
  3. Step 3: Cross multiply
    238,304.16x = 357,500.25 × 78,389.10
  4. Step 4: Simplify right side
    238,304.16x = 28,024,122,847.28
  5. Step 5: Solve for x
    x = 28,024,122,847.28/238,304.16
  6. Step 6: Final answer
    x = 117,598.13

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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.