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Finding the Fourth Proportional to 366,978.65, 512,720.35 and 366,978.65

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Solution

The fourth proportional to 366,978.65, 512,720.35 and 366,978.65 is: 512,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978.65 : 512,720.35 = 366,978.65 : x
  2. Step 2: Convert to fraction form
    366,978.65/512,720.35 = 366,978.65/x
  3. Step 3: Cross multiply
    366,978.65x = 512,720.35 × 366,978.65
  4. Step 4: Simplify right side
    366,978.65x = 188,157,421,870.53
  5. Step 5: Solve for x
    x = 188,157,421,870.53/366,978.65
  6. Step 6: Final answer
    x = 512,720.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.