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Finding the Fourth Proportional to 228,702.29, 315,719.57 and 152,350.07

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Solution

The fourth proportional to 228,702.29, 315,719.57 and 152,350.07 is: 210,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,702.29 : 315,719.57 = 152,350.07 : x
  2. Step 2: Convert to fraction form
    228,702.29/315,719.57 = 152,350.07/x
  3. Step 3: Cross multiply
    228,702.29x = 315,719.57 × 152,350.07
  4. Step 4: Simplify right side
    228,702.29x = 48,099,897,392.15
  5. Step 5: Solve for x
    x = 48,099,897,392.15/228,702.29
  6. Step 6: Final answer
    x = 210,316.65

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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.