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Finding the Fourth Proportional to 340,971.40, 511,457.10 and 277,985.80

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Solution

The fourth proportional to 340,971.40, 511,457.10 and 277,985.80 is: 416,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,971.40 : 511,457.10 = 277,985.80 : x
  2. Step 2: Convert to fraction form
    340,971.40/511,457.10 = 277,985.80/x
  3. Step 3: Cross multiply
    340,971.40x = 511,457.10 × 277,985.80
  4. Step 4: Simplify right side
    340,971.40x = 142,177,811,109.18
  5. Step 5: Solve for x
    x = 142,177,811,109.18/340,971.40
  6. Step 6: Final answer
    x = 416,978.70

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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.