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Finding the Fourth Proportional to 415,064.92, 621,631.97 and 400,681.41

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Solution

The fourth proportional to 415,064.92, 621,631.97 and 400,681.41 is: 600,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,064.92 : 621,631.97 = 400,681.41 : x
  2. Step 2: Convert to fraction form
    415,064.92/621,631.97 = 400,681.41/x
  3. Step 3: Cross multiply
    415,064.92x = 621,631.97 × 400,681.41
  4. Step 4: Simplify right side
    415,064.92x = 249,076,373,157.05
  5. Step 5: Solve for x
    x = 249,076,373,157.05/415,064.92
  6. Step 6: Final answer
    x = 600,090.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.