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Finding the Fourth Proportional to 875,197, 1,207,771.86 and 472,789

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Solution

The fourth proportional to 875,197, 1,207,771.86 and 472,789 is: 652,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,197 : 1,207,771.86 = 472,789 : x
  2. Step 2: Convert to fraction form
    875,197/1,207,771.86 = 472,789/x
  3. Step 3: Cross multiply
    875,197x = 1,207,771.86 × 472,789
  4. Step 4: Simplify right side
    875,197x = 571,021,249,917.54
  5. Step 5: Solve for x
    x = 571,021,249,917.54/875,197
  6. Step 6: Final answer
    x = 652,448.82

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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.