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Finding the Fourth Proportional to 490,742.84, 736,113.13 and 153,809.16

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Solution

The fourth proportional to 490,742.84, 736,113.13 and 153,809.16 is: 230,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,742.84 : 736,113.13 = 153,809.16 : x
  2. Step 2: Convert to fraction form
    490,742.84/736,113.13 = 153,809.16/x
  3. Step 3: Cross multiply
    490,742.84x = 736,113.13 × 153,809.16
  4. Step 4: Simplify right side
    490,742.84x = 113,220,941,805.75
  5. Step 5: Solve for x
    x = 113,220,941,805.75/490,742.84
  6. Step 6: Final answer
    x = 230,713.39

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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.