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Finding the Fourth Proportional to 372,275.76, 513,740.16 and 202,509.48

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Solution

The fourth proportional to 372,275.76, 513,740.16 and 202,509.48 is: 279,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,275.76 : 513,740.16 = 202,509.48 : x
  2. Step 2: Convert to fraction form
    372,275.76/513,740.16 = 202,509.48/x
  3. Step 3: Cross multiply
    372,275.76x = 513,740.16 × 202,509.48
  4. Step 4: Simplify right side
    372,275.76x = 104,037,252,656.72
  5. Step 5: Solve for x
    x = 104,037,252,656.72/372,275.76
  6. Step 6: Final answer
    x = 279,462.87

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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.