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Finding the Fourth Proportional to 657,792.12, 907,751.34 and 355,986.12

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Solution

The fourth proportional to 657,792.12, 907,751.34 and 355,986.12 is: 491,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,792.12 : 907,751.34 = 355,986.12 : x
  2. Step 2: Convert to fraction form
    657,792.12/907,751.34 = 355,986.12/x
  3. Step 3: Cross multiply
    657,792.12x = 907,751.34 × 355,986.12
  4. Step 4: Simplify right side
    657,792.12x = 323,146,877,451.40
  5. Step 5: Solve for x
    x = 323,146,877,451.40/657,792.12
  6. Step 6: Final answer
    x = 491,259.88

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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.