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Finding the Fourth Proportional to 477,931.62, 659,454.54 and 305,717.70

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Solution

The fourth proportional to 477,931.62, 659,454.54 and 305,717.70 is: 421,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,931.62 : 659,454.54 = 305,717.70 : x
  2. Step 2: Convert to fraction form
    477,931.62/659,454.54 = 305,717.70/x
  3. Step 3: Cross multiply
    477,931.62x = 659,454.54 × 305,717.70
  4. Step 4: Simplify right side
    477,931.62x = 201,606,925,223.36
  5. Step 5: Solve for x
    x = 201,606,925,223.36/477,931.62
  6. Step 6: Final answer
    x = 421,832.16

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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.