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Finding the Fourth Proportional to 360,728.64, 497,684.64 and 207,763.77

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Solution

The fourth proportional to 360,728.64, 497,684.64 and 207,763.77 is: 286,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,728.64 : 497,684.64 = 207,763.77 : x
  2. Step 2: Convert to fraction form
    360,728.64/497,684.64 = 207,763.77/x
  3. Step 3: Cross multiply
    360,728.64x = 497,684.64 × 207,763.77
  4. Step 4: Simplify right side
    360,728.64x = 103,400,835,754.78
  5. Step 5: Solve for x
    x = 103,400,835,754.78/360,728.64
  6. Step 6: Final answer
    x = 286,644.38

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1.5x scale

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.