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Finding the Fourth Proportional to 659,648.36, 910,316.49 and 357,842.36

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Solution

The fourth proportional to 659,648.36, 910,316.49 and 357,842.36 is: 493,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,648.36 : 910,316.49 = 357,842.36 : x
  2. Step 2: Convert to fraction form
    659,648.36/910,316.49 = 357,842.36/x
  3. Step 3: Cross multiply
    659,648.36x = 910,316.49 × 357,842.36
  4. Step 4: Simplify right side
    659,648.36x = 325,749,801,128.52
  5. Step 5: Solve for x
    x = 325,749,801,128.52/659,648.36
  6. Step 6: Final answer
    x = 493,823.41

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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.