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Finding the Fourth Proportional to 490,417.63, 735,628.80 and 148,864.01

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Solution

The fourth proportional to 490,417.63, 735,628.80 and 148,864.01 is: 223,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,417.63 : 735,628.80 = 148,864.01 : x
  2. Step 2: Convert to fraction form
    490,417.63/735,628.80 = 148,864.01/x
  3. Step 3: Cross multiply
    490,417.63x = 735,628.80 × 148,864.01
  4. Step 4: Simplify right side
    490,417.63x = 109,508,651,674.53
  5. Step 5: Solve for x
    x = 109,508,651,674.53/490,417.63
  6. Step 6: Final answer
    x = 223,296.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.