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Finding the Fourth Proportional to 505,291.50, 697,303.62 and 278,937

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Solution

The fourth proportional to 505,291.50, 697,303.62 and 278,937 is: 384,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,291.50 : 697,303.62 = 278,937 : x
  2. Step 2: Convert to fraction form
    505,291.50/697,303.62 = 278,937/x
  3. Step 3: Cross multiply
    505,291.50x = 697,303.62 × 278,937
  4. Step 4: Simplify right side
    505,291.50x = 194,503,779,851.94
  5. Step 5: Solve for x
    x = 194,503,779,851.94/505,291.50
  6. Step 6: Final answer
    x = 384,933.81

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1.5x scale

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.