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Finding the Fourth Proportional to 380,557.90, 525,170.54 and 208,472.10

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Solution

The fourth proportional to 380,557.90, 525,170.54 and 208,472.10 is: 287,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,557.90 : 525,170.54 = 208,472.10 : x
  2. Step 2: Convert to fraction form
    380,557.90/525,170.54 = 208,472.10/x
  3. Step 3: Cross multiply
    380,557.90x = 525,170.54 × 208,472.10
  4. Step 4: Simplify right side
    380,557.90x = 109,483,402,711.07
  5. Step 5: Solve for x
    x = 109,483,402,711.07/380,557.90
  6. Step 6: Final answer
    x = 287,691.84

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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.