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Finding the Fourth Proportional to 400,776.68, 553,072.64 and 217,017.25

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Solution

The fourth proportional to 400,776.68, 553,072.64 and 217,017.25 is: 299,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,776.68 : 553,072.64 = 217,017.25 : x
  2. Step 2: Convert to fraction form
    400,776.68/553,072.64 = 217,017.25/x
  3. Step 3: Cross multiply
    400,776.68x = 553,072.64 × 217,017.25
  4. Step 4: Simplify right side
    400,776.68x = 120,026,300,915.27
  5. Step 5: Solve for x
    x = 120,026,300,915.27/400,776.68
  6. Step 6: Final answer
    x = 299,484.24

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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.