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Finding the Fourth Proportional to 657,309.72, 907,640.62 and 416,018.04

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Solution

The fourth proportional to 657,309.72, 907,640.62 and 416,018.04 is: 574,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,309.72 : 907,640.62 = 416,018.04 : x
  2. Step 2: Convert to fraction form
    657,309.72/907,640.62 = 416,018.04/x
  3. Step 3: Cross multiply
    657,309.72x = 907,640.62 × 416,018.04
  4. Step 4: Simplify right side
    657,309.72x = 377,594,871,756.79
  5. Step 5: Solve for x
    x = 377,594,871,756.79/657,309.72
  6. Step 6: Final answer
    x = 574,455.03

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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.