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Finding the Fourth Proportional to 657,708.57, 907,612.63 and 412,824.36

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Solution

The fourth proportional to 657,708.57, 907,612.63 and 412,824.36 is: 569,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,708.57 : 907,612.63 = 412,824.36 : x
  2. Step 2: Convert to fraction form
    657,708.57/907,612.63 = 412,824.36/x
  3. Step 3: Cross multiply
    657,708.57x = 907,612.63 × 412,824.36
  4. Step 4: Simplify right side
    657,708.57x = 374,684,601,043.55
  5. Step 5: Solve for x
    x = 374,684,601,043.55/657,708.57
  6. Step 6: Final answer
    x = 569,681.80

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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.