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Finding the Fourth Proportional to 456,406.65, 630,485.42 and 415,502.46

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Solution

The fourth proportional to 456,406.65, 630,485.42 and 415,502.46 is: 573,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,406.65 : 630,485.42 = 415,502.46 : x
  2. Step 2: Convert to fraction form
    456,406.65/630,485.42 = 415,502.46/x
  3. Step 3: Cross multiply
    456,406.65x = 630,485.42 × 415,502.46
  4. Step 4: Simplify right side
    456,406.65x = 261,968,243,004.13
  5. Step 5: Solve for x
    x = 261,968,243,004.13/456,406.65
  6. Step 6: Final answer
    x = 573,979.90

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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.