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Finding the Fourth Proportional to 380,590.13, 525,207.51 and 208,511.51

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Solution

The fourth proportional to 380,590.13, 525,207.51 and 208,511.51 is: 287,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,590.13 : 525,207.51 = 208,511.51 : x
  2. Step 2: Convert to fraction form
    380,590.13/525,207.51 = 208,511.51/x
  3. Step 3: Cross multiply
    380,590.13x = 525,207.51 × 208,511.51
  4. Step 4: Simplify right side
    380,590.13x = 109,511,808,347.40
  5. Step 5: Solve for x
    x = 109,511,808,347.40/380,590.13
  6. Step 6: Final answer
    x = 287,742.11

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1.5x scale

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.