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Finding the Fourth Proportional to 564,121.48, 778,507.91 and 309,480.16

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Solution

The fourth proportional to 564,121.48, 778,507.91 and 309,480.16 is: 427,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,121.48 : 778,507.91 = 309,480.16 : x
  2. Step 2: Convert to fraction form
    564,121.48/778,507.91 = 309,480.16/x
  3. Step 3: Cross multiply
    564,121.48x = 778,507.91 × 309,480.16
  4. Step 4: Simplify right side
    564,121.48x = 240,932,752,548.07
  5. Step 5: Solve for x
    x = 240,932,752,548.07/564,121.48
  6. Step 6: Final answer
    x = 427,093.74

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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.