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Finding the Fourth Proportional to 875,182, 1,207,751.16 and 472,774

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Solution

The fourth proportional to 875,182, 1,207,751.16 and 472,774 is: 652,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,182 : 1,207,751.16 = 472,774 : x
  2. Step 2: Convert to fraction form
    875,182/1,207,751.16 = 472,774/x
  3. Step 3: Cross multiply
    875,182x = 1,207,751.16 × 472,774
  4. Step 4: Simplify right side
    875,182x = 570,993,346,917.84
  5. Step 5: Solve for x
    x = 570,993,346,917.84/875,182
  6. Step 6: Final answer
    x = 652,428.12

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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.