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Finding the Fourth Proportional to 490,271.60, 676,653.54 and 458,253.92

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Solution

The fourth proportional to 490,271.60, 676,653.54 and 458,253.92 is: 632,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,271.60 : 676,653.54 = 458,253.92 : x
  2. Step 2: Convert to fraction form
    490,271.60/676,653.54 = 458,253.92/x
  3. Step 3: Cross multiply
    490,271.60x = 676,653.54 × 458,253.92
  4. Step 4: Simplify right side
    490,271.60x = 310,079,137,186.88
  5. Step 5: Solve for x
    x = 310,079,137,186.88/490,271.60
  6. Step 6: Final answer
    x = 632,464.00

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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.