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Finding the Fourth Proportional to 652,669.50, 900,740.91 and 380,824.98

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Solution

The fourth proportional to 652,669.50, 900,740.91 and 380,824.98 is: 525,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,669.50 : 900,740.91 = 380,824.98 : x
  2. Step 2: Convert to fraction form
    652,669.50/900,740.91 = 380,824.98/x
  3. Step 3: Cross multiply
    652,669.50x = 900,740.91 × 380,824.98
  4. Step 4: Simplify right side
    652,669.50x = 343,024,639,035.93
  5. Step 5: Solve for x
    x = 343,024,639,035.93/652,669.50
  6. Step 6: Final answer
    x = 525,571.73

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1.5x scale

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.