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Finding the Fourth Proportional to 313,851.84, 472,485.48 and 285,951.12

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Solution

The fourth proportional to 313,851.84, 472,485.48 and 285,951.12 is: 430,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,851.84 : 472,485.48 = 285,951.12 : x
  2. Step 2: Convert to fraction form
    313,851.84/472,485.48 = 285,951.12/x
  3. Step 3: Cross multiply
    313,851.84x = 472,485.48 × 285,951.12
  4. Step 4: Simplify right side
    313,851.84x = 135,107,752,189.74
  5. Step 5: Solve for x
    x = 135,107,752,189.74/313,851.84
  6. Step 6: Final answer
    x = 430,482.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.