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Finding the Fourth Proportional to 505,421.52, 697,230 and 301,328.76

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Solution

The fourth proportional to 505,421.52, 697,230 and 301,328.76 is: 415,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,421.52 : 697,230 = 301,328.76 : x
  2. Step 2: Convert to fraction form
    505,421.52/697,230 = 301,328.76/x
  3. Step 3: Cross multiply
    505,421.52x = 697,230 × 301,328.76
  4. Step 4: Simplify right side
    505,421.52x = 210,095,451,334.80
  5. Step 5: Solve for x
    x = 210,095,451,334.80/505,421.52
  6. Step 6: Final answer
    x = 415,683.63

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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.