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Finding the Fourth Proportional to 492,913.98, 680,395.59 and 291,709.50

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Solution

The fourth proportional to 492,913.98, 680,395.59 and 291,709.50 is: 402,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,913.98 : 680,395.59 = 291,709.50 : x
  2. Step 2: Convert to fraction form
    492,913.98/680,395.59 = 291,709.50/x
  3. Step 3: Cross multiply
    492,913.98x = 680,395.59 × 291,709.50
  4. Step 4: Simplify right side
    492,913.98x = 198,477,857,361.11
  5. Step 5: Solve for x
    x = 198,477,857,361.11/492,913.98
  6. Step 6: Final answer
    x = 402,662.26

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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.