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Finding the Fourth Proportional to 316,085.40, 472,961.70 and 288,091.80

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Solution

The fourth proportional to 316,085.40, 472,961.70 and 288,091.80 is: 431,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,085.40 : 472,961.70 = 288,091.80 : x
  2. Step 2: Convert to fraction form
    316,085.40/472,961.70 = 288,091.80/x
  3. Step 3: Cross multiply
    316,085.40x = 472,961.70 × 288,091.80
  4. Step 4: Simplify right side
    316,085.40x = 136,256,387,484.06
  5. Step 5: Solve for x
    x = 136,256,387,484.06/316,085.40
  6. Step 6: Final answer
    x = 431,074.60

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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.