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Finding the Fourth Proportional to 657,709.57, 907,614 and 412,825.36

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Solution

The fourth proportional to 657,709.57, 907,614 and 412,825.36 is: 569,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,709.57 : 907,614 = 412,825.36 : x
  2. Step 2: Convert to fraction form
    657,709.57/907,614 = 412,825.36/x
  3. Step 3: Cross multiply
    657,709.57x = 907,614 × 412,825.36
  4. Step 4: Simplify right side
    657,709.57x = 374,686,076,291.04
  5. Step 5: Solve for x
    x = 374,686,076,291.04/657,709.57
  6. Step 6: Final answer
    x = 569,683.18

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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.