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Finding the Fourth Proportional to 401,176.16, 553,618.15 and 217,410.78

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Solution

The fourth proportional to 401,176.16, 553,618.15 and 217,410.78 is: 300,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,176.16 : 553,618.15 = 217,410.78 : x
  2. Step 2: Convert to fraction form
    401,176.16/553,618.15 = 217,410.78/x
  3. Step 3: Cross multiply
    401,176.16x = 553,618.15 × 217,410.78
  4. Step 4: Simplify right side
    401,176.16x = 120,362,553,813.66
  5. Step 5: Solve for x
    x = 120,362,553,813.66/401,176.16
  6. Step 6: Final answer
    x = 300,024.19

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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.