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Finding the Fourth Proportional to 657,300.80, 907,628.20 and 416,009.12

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Solution

The fourth proportional to 657,300.80, 907,628.20 and 416,009.12 is: 574,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,300.80 : 907,628.20 = 416,009.12 : x
  2. Step 2: Convert to fraction form
    657,300.80/907,628.20 = 416,009.12/x
  3. Step 3: Cross multiply
    657,300.80x = 907,628.20 × 416,009.12
  4. Step 4: Simplify right side
    657,300.80x = 377,581,608,769.18
  5. Step 5: Solve for x
    x = 377,581,608,769.18/657,300.80
  6. Step 6: Final answer
    x = 574,442.64

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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.