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Finding the Fourth Proportional to 510,865.40, 766,298.10 and 274,669.40

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Solution

The fourth proportional to 510,865.40, 766,298.10 and 274,669.40 is: 412,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,865.40 : 766,298.10 = 274,669.40 : x
  2. Step 2: Convert to fraction form
    510,865.40/766,298.10 = 274,669.40/x
  3. Step 3: Cross multiply
    510,865.40x = 766,298.10 × 274,669.40
  4. Step 4: Simplify right side
    510,865.40x = 210,478,639,348.14
  5. Step 5: Solve for x
    x = 210,478,639,348.14/510,865.40
  6. Step 6: Final answer
    x = 412,004.10

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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.