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Finding the Fourth Proportional to 556,551.81, 768,041.75 and 314,829.23

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Solution

The fourth proportional to 556,551.81, 768,041.75 and 314,829.23 is: 434,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,551.81 : 768,041.75 = 314,829.23 : x
  2. Step 2: Convert to fraction form
    556,551.81/768,041.75 = 314,829.23/x
  3. Step 3: Cross multiply
    556,551.81x = 768,041.75 × 314,829.23
  4. Step 4: Simplify right side
    556,551.81x = 241,801,992,256.54
  5. Step 5: Solve for x
    x = 241,801,992,256.54/556,551.81
  6. Step 6: Final answer
    x = 434,464.48

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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.