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Finding the Fourth Proportional to 505,430.64, 697,242.36 and 301,337.64

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Solution

The fourth proportional to 505,430.64, 697,242.36 and 301,337.64 is: 415,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,430.64 : 697,242.36 = 301,337.64 : x
  2. Step 2: Convert to fraction form
    505,430.64/697,242.36 = 301,337.64/x
  3. Step 3: Cross multiply
    505,430.64x = 697,242.36 × 301,337.64
  4. Step 4: Simplify right side
    505,430.64x = 210,105,367,270.43
  5. Step 5: Solve for x
    x = 210,105,367,270.43/505,430.64
  6. Step 6: Final answer
    x = 415,695.75

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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.