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Finding the Fourth Proportional to 505,737.30, 697,931.16 and 301,906.50

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Solution

The fourth proportional to 505,737.30, 697,931.16 and 301,906.50 is: 416,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,737.30 : 697,931.16 = 301,906.50 : x
  2. Step 2: Convert to fraction form
    505,737.30/697,931.16 = 301,906.50/x
  3. Step 3: Cross multiply
    505,737.30x = 697,931.16 × 301,906.50
  4. Step 4: Simplify right side
    505,737.30x = 210,709,953,756.54
  5. Step 5: Solve for x
    x = 210,709,953,756.54/505,737.30
  6. Step 6: Final answer
    x = 416,639.14

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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.