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Finding the Fourth Proportional to 490,459.90, 676,812.86 and 286,529.70

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Solution

The fourth proportional to 490,459.90, 676,812.86 and 286,529.70 is: 395,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,459.90 : 676,812.86 = 286,529.70 : x
  2. Step 2: Convert to fraction form
    490,459.90/676,812.86 = 286,529.70/x
  3. Step 3: Cross multiply
    490,459.90x = 676,812.86 × 286,529.70
  4. Step 4: Simplify right side
    490,459.90x = 193,926,985,731.94
  5. Step 5: Solve for x
    x = 193,926,985,731.94/490,459.90
  6. Step 6: Final answer
    x = 395,398.25

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1.5x scale

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.