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Finding the Fourth Proportional to 567,410.64, 783,017.12 and 309,290.36

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Solution

The fourth proportional to 567,410.64, 783,017.12 and 309,290.36 is: 426,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,410.64 : 783,017.12 = 309,290.36 : x
  2. Step 2: Convert to fraction form
    567,410.64/783,017.12 = 309,290.36/x
  3. Step 3: Cross multiply
    567,410.64x = 783,017.12 × 309,290.36
  4. Step 4: Simplify right side
    567,410.64x = 242,179,646,930.96
  5. Step 5: Solve for x
    x = 242,179,646,930.96/567,410.64
  6. Step 6: Final answer
    x = 426,815.48

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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.