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Finding the Fourth Proportional to 369,604.95, 510,054.71 and 208,459.64

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Solution

The fourth proportional to 369,604.95, 510,054.71 and 208,459.64 is: 287,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,604.95 : 510,054.71 = 208,459.64 : x
  2. Step 2: Convert to fraction form
    369,604.95/510,054.71 = 208,459.64/x
  3. Step 3: Cross multiply
    369,604.95x = 510,054.71 × 208,459.64
  4. Step 4: Simplify right side
    369,604.95x = 106,325,817,634.33
  5. Step 5: Solve for x
    x = 106,325,817,634.33/369,604.95
  6. Step 6: Final answer
    x = 287,674.23

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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.