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Finding the Fourth Proportional to 484,518.72, 668,256.48 and 314,808

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Solution

The fourth proportional to 484,518.72, 668,256.48 and 314,808 is: 434,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,518.72 : 668,256.48 = 314,808 : x
  2. Step 2: Convert to fraction form
    484,518.72/668,256.48 = 314,808/x
  3. Step 3: Cross multiply
    484,518.72x = 668,256.48 × 314,808
  4. Step 4: Simplify right side
    484,518.72x = 210,372,485,955.84
  5. Step 5: Solve for x
    x = 210,372,485,955.84/484,518.72
  6. Step 6: Final answer
    x = 434,188.56

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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.