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Finding the Fourth Proportional to 656,420.87, 905,671.85 and 427,315.34

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Solution

The fourth proportional to 656,420.87, 905,671.85 and 427,315.34 is: 589,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,420.87 : 905,671.85 = 427,315.34 : x
  2. Step 2: Convert to fraction form
    656,420.87/905,671.85 = 427,315.34/x
  3. Step 3: Cross multiply
    656,420.87x = 905,671.85 × 427,315.34
  4. Step 4: Simplify right side
    656,420.87x = 387,007,467,846.24
  5. Step 5: Solve for x
    x = 387,007,467,846.24/656,420.87
  6. Step 6: Final answer
    x = 589,572.16

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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.