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Finding the Fourth Proportional to 707,445.36, 976,359.24 and 417,122.64

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Solution

The fourth proportional to 707,445.36, 976,359.24 and 417,122.64 is: 575,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,445.36 : 976,359.24 = 417,122.64 : x
  2. Step 2: Convert to fraction form
    707,445.36/976,359.24 = 417,122.64/x
  3. Step 3: Cross multiply
    707,445.36x = 976,359.24 × 417,122.64
  4. Step 4: Simplify right side
    707,445.36x = 407,261,543,777.19
  5. Step 5: Solve for x
    x = 407,261,543,777.19/707,445.36
  6. Step 6: Final answer
    x = 575,679.15

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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.