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Finding the Fourth Proportional to 502,149.84, 692,963.64 and 300,945.84

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Solution

The fourth proportional to 502,149.84, 692,963.64 and 300,945.84 is: 415,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,149.84 : 692,963.64 = 300,945.84 : x
  2. Step 2: Convert to fraction form
    502,149.84/692,963.64 = 300,945.84/x
  3. Step 3: Cross multiply
    502,149.84x = 692,963.64 × 300,945.84
  4. Step 4: Simplify right side
    502,149.84x = 208,544,524,729.26
  5. Step 5: Solve for x
    x = 208,544,524,729.26/502,149.84
  6. Step 6: Final answer
    x = 415,303.38

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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.