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Finding the Fourth Proportional to 393,657.88, 543,509.32 and 302,853.64

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Solution

The fourth proportional to 393,657.88, 543,509.32 and 302,853.64 is: 418,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,657.88 : 543,509.32 = 302,853.64 : x
  2. Step 2: Convert to fraction form
    393,657.88/543,509.32 = 302,853.64/x
  3. Step 3: Cross multiply
    393,657.88x = 543,509.32 × 302,853.64
  4. Step 4: Simplify right side
    393,657.88x = 164,603,775,935.93
  5. Step 5: Solve for x
    x = 164,603,775,935.93/393,657.88
  6. Step 6: Final answer
    x = 418,139.16

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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.