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Finding the Fourth Proportional to 561,113.76, 774,362.16 and 306,467.04

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Solution

The fourth proportional to 561,113.76, 774,362.16 and 306,467.04 is: 422,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,113.76 : 774,362.16 = 306,467.04 : x
  2. Step 2: Convert to fraction form
    561,113.76/774,362.16 = 306,467.04/x
  3. Step 3: Cross multiply
    561,113.76x = 774,362.16 × 306,467.04
  4. Step 4: Simplify right side
    561,113.76x = 237,316,479,063.21
  5. Step 5: Solve for x
    x = 237,316,479,063.21/561,113.76
  6. Step 6: Final answer
    x = 422,938.26

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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.