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Finding the Fourth Proportional to 659,884.56, 910,643.04 and 358,078.56

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Solution

The fourth proportional to 659,884.56, 910,643.04 and 358,078.56 is: 494,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,884.56 : 910,643.04 = 358,078.56 : x
  2. Step 2: Convert to fraction form
    659,884.56/910,643.04 = 358,078.56/x
  3. Step 3: Cross multiply
    659,884.56x = 910,643.04 × 358,078.56
  4. Step 4: Simplify right side
    659,884.56x = 326,081,748,437.22
  5. Step 5: Solve for x
    x = 326,081,748,437.22/659,884.56
  6. Step 6: Final answer
    x = 494,149.69

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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.