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Finding the Fourth Proportional to 654,414, 903,102.60 and 364,048.75

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Solution

The fourth proportional to 654,414, 903,102.60 and 364,048.75 is: 502,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,414 : 903,102.60 = 364,048.75 : x
  2. Step 2: Convert to fraction form
    654,414/903,102.60 = 364,048.75/x
  3. Step 3: Cross multiply
    654,414x = 903,102.60 × 364,048.75
  4. Step 4: Simplify right side
    654,414x = 328,773,372,651.75
  5. Step 5: Solve for x
    x = 328,773,372,651.75/654,414
  6. Step 6: Final answer
    x = 502,393.55

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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.