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Finding the Fourth Proportional to 456,510.72, 630,071.28 and 305,869.44

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Solution

The fourth proportional to 456,510.72, 630,071.28 and 305,869.44 is: 422,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,510.72 : 630,071.28 = 305,869.44 : x
  2. Step 2: Convert to fraction form
    456,510.72/630,071.28 = 305,869.44/x
  3. Step 3: Cross multiply
    456,510.72x = 630,071.28 × 305,869.44
  4. Step 4: Simplify right side
    456,510.72x = 192,719,549,573.68
  5. Step 5: Solve for x
    x = 192,719,549,573.68/456,510.72
  6. Step 6: Final answer
    x = 422,157.77

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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.