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Finding the Fourth Proportional to 564,219.30, 778,623.58 and 309,572.32

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Solution

The fourth proportional to 564,219.30, 778,623.58 and 309,572.32 is: 427,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,219.30 : 778,623.58 = 309,572.32 : x
  2. Step 2: Convert to fraction form
    564,219.30/778,623.58 = 309,572.32/x
  3. Step 3: Cross multiply
    564,219.30x = 778,623.58 × 309,572.32
  4. Step 4: Simplify right side
    564,219.30x = 241,040,308,067.31
  5. Step 5: Solve for x
    x = 241,040,308,067.31/564,219.30
  6. Step 6: Final answer
    x = 427,210.32

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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.