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Finding the Fourth Proportional to 556,086, 767,394.36 and 301,430.64

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Solution

The fourth proportional to 556,086, 767,394.36 and 301,430.64 is: 415,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,086 : 767,394.36 = 301,430.64 : x
  2. Step 2: Convert to fraction form
    556,086/767,394.36 = 301,430.64/x
  3. Step 3: Cross multiply
    556,086x = 767,394.36 × 301,430.64
  4. Step 4: Simplify right side
    556,086x = 231,316,173,067.19
  5. Step 5: Solve for x
    x = 231,316,173,067.19/556,086
  6. Step 6: Final answer
    x = 415,971.94

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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.