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Finding the Fourth Proportional to 312,484.84, 431,266.98 and 176,524.52

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Solution

The fourth proportional to 312,484.84, 431,266.98 and 176,524.52 is: 243,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,484.84 : 431,266.98 = 176,524.52 : x
  2. Step 2: Convert to fraction form
    312,484.84/431,266.98 = 176,524.52/x
  3. Step 3: Cross multiply
    312,484.84x = 431,266.98 × 176,524.52
  4. Step 4: Simplify right side
    312,484.84x = 76,129,196,636.35
  5. Step 5: Solve for x
    x = 76,129,196,636.35/312,484.84
  6. Step 6: Final answer
    x = 243,625.25

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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.