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Finding the Fourth Proportional to 341,987.80, 512,981.70 and 314,431.60

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Solution

The fourth proportional to 341,987.80, 512,981.70 and 314,431.60 is: 471,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,987.80 : 512,981.70 = 314,431.60 : x
  2. Step 2: Convert to fraction form
    341,987.80/512,981.70 = 314,431.60/x
  3. Step 3: Cross multiply
    341,987.80x = 512,981.70 × 314,431.60
  4. Step 4: Simplify right side
    341,987.80x = 161,297,656,701.72
  5. Step 5: Solve for x
    x = 161,297,656,701.72/341,987.80
  6. Step 6: Final answer
    x = 471,647.40

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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.