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Finding the Fourth Proportional to 875,196, 1,207,770.48 and 472,788

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Solution

The fourth proportional to 875,196, 1,207,770.48 and 472,788 is: 652,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,196 : 1,207,770.48 = 472,788 : x
  2. Step 2: Convert to fraction form
    875,196/1,207,770.48 = 472,788/x
  3. Step 3: Cross multiply
    875,196x = 1,207,770.48 × 472,788
  4. Step 4: Simplify right side
    875,196x = 571,019,389,698.24
  5. Step 5: Solve for x
    x = 571,019,389,698.24/875,196
  6. Step 6: Final answer
    x = 652,447.44

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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.