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Finding the Fourth Proportional to 506,485.64, 759,447.96 and 207,176.40

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Solution

The fourth proportional to 506,485.64, 759,447.96 and 207,176.40 is: 310,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,485.64 : 759,447.96 = 207,176.40 : x
  2. Step 2: Convert to fraction form
    506,485.64/759,447.96 = 207,176.40/x
  3. Step 3: Cross multiply
    506,485.64x = 759,447.96 × 207,176.40
  4. Step 4: Simplify right side
    506,485.64x = 157,339,694,340.14
  5. Step 5: Solve for x
    x = 157,339,694,340.14/506,485.64
  6. Step 6: Final answer
    x = 310,649.86

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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.