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Finding the Fourth Proportional to 457,099.70, 630,588.21 and 296,006.69

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Solution

The fourth proportional to 457,099.70, 630,588.21 and 296,006.69 is: 408,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,099.70 : 630,588.21 = 296,006.69 : x
  2. Step 2: Convert to fraction form
    457,099.70/630,588.21 = 296,006.69/x
  3. Step 3: Cross multiply
    457,099.70x = 630,588.21 × 296,006.69
  4. Step 4: Simplify right side
    457,099.70x = 186,658,325,642.18
  5. Step 5: Solve for x
    x = 186,658,325,642.18/457,099.70
  6. Step 6: Final answer
    x = 408,353.64

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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.