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Finding the Fourth Proportional to 1,316,500, 1,974,756.48 and 319,228

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Solution

The fourth proportional to 1,316,500, 1,974,756.48 and 319,228 is: 478,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,500 : 1,974,756.48 = 319,228 : x
  2. Step 2: Convert to fraction form
    1,316,500/1,974,756.48 = 319,228/x
  3. Step 3: Cross multiply
    1,316,500x = 1,974,756.48 × 319,228
  4. Step 4: Simplify right side
    1,316,500x = 630,397,561,597.44
  5. Step 5: Solve for x
    x = 630,397,561,597.44/1,316,500
  6. Step 6: Final answer
    x = 478,843.57

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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.