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Finding the Fourth Proportional to 490,407.40, 676,815.78 and 299,420.20

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Solution

The fourth proportional to 490,407.40, 676,815.78 and 299,420.20 is: 413,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,407.40 : 676,815.78 = 299,420.20 : x
  2. Step 2: Convert to fraction form
    490,407.40/676,815.78 = 299,420.20/x
  3. Step 3: Cross multiply
    490,407.40x = 676,815.78 × 299,420.20
  4. Step 4: Simplify right side
    490,407.40x = 202,652,316,210.76
  5. Step 5: Solve for x
    x = 202,652,316,210.76/490,407.40
  6. Step 6: Final answer
    x = 413,232.58

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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.