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Finding the Fourth Proportional to 661,661.36, 912,625.08 and 457,774.64

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Solution

The fourth proportional to 661,661.36, 912,625.08 and 457,774.64 is: 631,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,661.36 : 912,625.08 = 457,774.64 : x
  2. Step 2: Convert to fraction form
    661,661.36/912,625.08 = 457,774.64/x
  3. Step 3: Cross multiply
    661,661.36x = 912,625.08 × 457,774.64
  4. Step 4: Simplify right side
    661,661.36x = 417,776,617,451.97
  5. Step 5: Solve for x
    x = 417,776,617,451.97/661,661.36
  6. Step 6: Final answer
    x = 631,405.49

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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.