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Finding the Fourth Proportional to 651,919.80, 978,171.30 and 314,830.20

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Solution

The fourth proportional to 651,919.80, 978,171.30 and 314,830.20 is: 472,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,919.80 : 978,171.30 = 314,830.20 : x
  2. Step 2: Convert to fraction form
    651,919.80/978,171.30 = 314,830.20/x
  3. Step 3: Cross multiply
    651,919.80x = 978,171.30 × 314,830.20
  4. Step 4: Simplify right side
    651,919.80x = 307,957,866,013.26
  5. Step 5: Solve for x
    x = 307,957,866,013.26/651,919.80
  6. Step 6: Final answer
    x = 472,386.12

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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.