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Finding the Fourth Proportional to 707,443.36, 976,356.48 and 417,120.64

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Solution

The fourth proportional to 707,443.36, 976,356.48 and 417,120.64 is: 575,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,443.36 : 976,356.48 = 417,120.64 : x
  2. Step 2: Convert to fraction form
    707,443.36/976,356.48 = 417,120.64/x
  3. Step 3: Cross multiply
    707,443.36x = 976,356.48 × 417,120.64
  4. Step 4: Simplify right side
    707,443.36x = 407,258,439,805.75
  5. Step 5: Solve for x
    x = 407,258,439,805.75/707,443.36
  6. Step 6: Final answer
    x = 575,676.39

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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.