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Finding the Fourth Proportional to 657,308.72, 907,639.24 and 416,017.04

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Solution

The fourth proportional to 657,308.72, 907,639.24 and 416,017.04 is: 574,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,308.72 : 907,639.24 = 416,017.04 : x
  2. Step 2: Convert to fraction form
    657,308.72/907,639.24 = 416,017.04/x
  3. Step 3: Cross multiply
    657,308.72x = 907,639.24 × 416,017.04
  4. Step 4: Simplify right side
    657,308.72x = 377,593,390,012.65
  5. Step 5: Solve for x
    x = 377,593,390,012.65/657,308.72
  6. Step 6: Final answer
    x = 574,453.64

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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.