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Finding the Fourth Proportional to 547,741.59, 820,934.15 and 310,364.61

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Solution

The fourth proportional to 547,741.59, 820,934.15 and 310,364.61 is: 465,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,741.59 : 820,934.15 = 310,364.61 : x
  2. Step 2: Convert to fraction form
    547,741.59/820,934.15 = 310,364.61/x
  3. Step 3: Cross multiply
    547,741.59x = 820,934.15 × 310,364.61
  4. Step 4: Simplify right side
    547,741.59x = 254,788,905,748.61
  5. Step 5: Solve for x
    x = 254,788,905,748.61/547,741.59
  6. Step 6: Final answer
    x = 465,162.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.