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Finding the Fourth Proportional to 380,477.46, 525,048.32 and 217,130.86

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Solution

The fourth proportional to 380,477.46, 525,048.32 and 217,130.86 is: 299,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,477.46 : 525,048.32 = 217,130.86 : x
  2. Step 2: Convert to fraction form
    380,477.46/525,048.32 = 217,130.86/x
  3. Step 3: Cross multiply
    380,477.46x = 525,048.32 × 217,130.86
  4. Step 4: Simplify right side
    380,477.46x = 114,004,193,263.16
  5. Step 5: Solve for x
    x = 114,004,193,263.16/380,477.46
  6. Step 6: Final answer
    x = 299,634.55

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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.