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Finding the Fourth Proportional to 380,501.84, 570,752.76 and 100,018.64

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Solution

The fourth proportional to 380,501.84, 570,752.76 and 100,018.64 is: 150,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,501.84 : 570,752.76 = 100,018.64 : x
  2. Step 2: Convert to fraction form
    380,501.84/570,752.76 = 100,018.64/x
  3. Step 3: Cross multiply
    380,501.84x = 570,752.76 × 100,018.64
  4. Step 4: Simplify right side
    380,501.84x = 57,085,914,831.45
  5. Step 5: Solve for x
    x = 57,085,914,831.45/380,501.84
  6. Step 6: Final answer
    x = 150,027.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.