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Finding the Fourth Proportional to 380,613.76, 525,239.76 and 210,849.28

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Solution

The fourth proportional to 380,613.76, 525,239.76 and 210,849.28 is: 290,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,613.76 : 525,239.76 = 210,849.28 : x
  2. Step 2: Convert to fraction form
    380,613.76/525,239.76 = 210,849.28/x
  3. Step 3: Cross multiply
    380,613.76x = 525,239.76 × 210,849.28
  4. Step 4: Simplify right side
    380,613.76x = 110,746,425,223.37
  5. Step 5: Solve for x
    x = 110,746,425,223.37/380,613.76
  6. Step 6: Final answer
    x = 290,968.00

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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.