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Finding the Fourth Proportional to 477,748.28, 659,564.55 and 316,820.58

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Solution

The fourth proportional to 477,748.28, 659,564.55 and 316,820.58 is: 437,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,748.28 : 659,564.55 = 316,820.58 : x
  2. Step 2: Convert to fraction form
    477,748.28/659,564.55 = 316,820.58/x
  3. Step 3: Cross multiply
    477,748.28x = 659,564.55 × 316,820.58
  4. Step 4: Simplify right side
    477,748.28x = 208,963,623,278.44
  5. Step 5: Solve for x
    x = 208,963,623,278.44/477,748.28
  6. Step 6: Final answer
    x = 437,392.73

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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.