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Finding the Fourth Proportional to 475,415, 655,955.25 and 281,868.11

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Solution

The fourth proportional to 475,415, 655,955.25 and 281,868.11 is: 388,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,415 : 655,955.25 = 281,868.11 : x
  2. Step 2: Convert to fraction form
    475,415/655,955.25 = 281,868.11/x
  3. Step 3: Cross multiply
    475,415x = 655,955.25 × 281,868.11
  4. Step 4: Simplify right side
    475,415x = 184,892,866,562.08
  5. Step 5: Solve for x
    x = 184,892,866,562.08/475,415
  6. Step 6: Final answer
    x = 388,908.36

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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.