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Finding the Fourth Proportional to 490,407.84, 734,591.04 and 312,031.20

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Solution

The fourth proportional to 490,407.84, 734,591.04 and 312,031.20 is: 467,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,407.84 : 734,591.04 = 312,031.20 : x
  2. Step 2: Convert to fraction form
    490,407.84/734,591.04 = 312,031.20/x
  3. Step 3: Cross multiply
    490,407.84x = 734,591.04 × 312,031.20
  4. Step 4: Simplify right side
    490,407.84x = 229,215,323,720.45
  5. Step 5: Solve for x
    x = 229,215,323,720.45/490,407.84
  6. Step 6: Final answer
    x = 467,397.35

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1.5x scale

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.