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Finding the Fourth Proportional to 652,310, 900,189.42 and 380,564.72

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Solution

The fourth proportional to 652,310, 900,189.42 and 380,564.72 is: 525,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,310 : 900,189.42 = 380,564.72 : x
  2. Step 2: Convert to fraction form
    652,310/900,189.42 = 380,564.72/x
  3. Step 3: Cross multiply
    652,310x = 900,189.42 × 380,564.72
  4. Step 4: Simplify right side
    652,310x = 342,580,334,569.26
  5. Step 5: Solve for x
    x = 342,580,334,569.26/652,310
  6. Step 6: Final answer
    x = 525,180.26

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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.