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Finding the Fourth Proportional to 380,975.60, 532,666 and 380,975.60

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Solution

The fourth proportional to 380,975.60, 532,666 and 380,975.60 is: 532,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,975.60 : 532,666 = 380,975.60 : x
  2. Step 2: Convert to fraction form
    380,975.60/532,666 = 380,975.60/x
  3. Step 3: Cross multiply
    380,975.60x = 532,666 × 380,975.60
  4. Step 4: Simplify right side
    380,975.60x = 202,932,748,949.60
  5. Step 5: Solve for x
    x = 202,932,748,949.60/380,975.60
  6. Step 6: Final answer
    x = 532,666

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.