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Finding the Fourth Proportional to 476,496, 657,564.48 and 275,292

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Solution

The fourth proportional to 476,496, 657,564.48 and 275,292 is: 379,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,496 : 657,564.48 = 275,292 : x
  2. Step 2: Convert to fraction form
    476,496/657,564.48 = 275,292/x
  3. Step 3: Cross multiply
    476,496x = 657,564.48 × 275,292
  4. Step 4: Simplify right side
    476,496x = 181,022,240,828.16
  5. Step 5: Solve for x
    x = 181,022,240,828.16/476,496
  6. Step 6: Final answer
    x = 379,902.96

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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.