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Finding the Fourth Proportional to 610,254.66, 842,201.16 and 338,407.80

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Solution

The fourth proportional to 610,254.66, 842,201.16 and 338,407.80 is: 467,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,254.66 : 842,201.16 = 338,407.80 : x
  2. Step 2: Convert to fraction form
    610,254.66/842,201.16 = 338,407.80/x
  3. Step 3: Cross multiply
    610,254.66x = 842,201.16 × 338,407.80
  4. Step 4: Simplify right side
    610,254.66x = 285,007,441,713.05
  5. Step 5: Solve for x
    x = 285,007,441,713.05/610,254.66
  6. Step 6: Final answer
    x = 467,030.34

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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.