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Finding the Fourth Proportional to 380,526.54, 525,097.72 and 210,757.02

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Solution

The fourth proportional to 380,526.54, 525,097.72 and 210,757.02 is: 290,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,526.54 : 525,097.72 = 210,757.02 : x
  2. Step 2: Convert to fraction form
    380,526.54/525,097.72 = 210,757.02/x
  3. Step 3: Cross multiply
    380,526.54x = 525,097.72 × 210,757.02
  4. Step 4: Simplify right side
    380,526.54x = 110,668,030,675.99
  5. Step 5: Solve for x
    x = 110,668,030,675.99/380,526.54
  6. Step 6: Final answer
    x = 290,828.68

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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.