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Finding the Fourth Proportional to 652,669.17, 900,740.44 and 380,824.64

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Solution

The fourth proportional to 652,669.17, 900,740.44 and 380,824.64 is: 525,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,669.17 : 900,740.44 = 380,824.64 : x
  2. Step 2: Convert to fraction form
    652,669.17/900,740.44 = 380,824.64/x
  3. Step 3: Cross multiply
    652,669.17x = 900,740.44 × 380,824.64
  4. Step 4: Simplify right side
    652,669.17x = 343,024,149,292.74
  5. Step 5: Solve for x
    x = 343,024,149,292.74/652,669.17
  6. Step 6: Final answer
    x = 525,571.25

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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.