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Finding the Fourth Proportional to 311,640, 430,054.08 and 175,681.92

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Solution

The fourth proportional to 311,640, 430,054.08 and 175,681.92 is: 242,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,640 : 430,054.08 = 175,681.92 : x
  2. Step 2: Convert to fraction form
    311,640/430,054.08 = 175,681.92/x
  3. Step 3: Cross multiply
    311,640x = 430,054.08 × 175,681.92
  4. Step 4: Simplify right side
    311,640x = 75,552,726,478.23
  5. Step 5: Solve for x
    x = 75,552,726,478.23/311,640
  6. Step 6: Final answer
    x = 242,435.91

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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.