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Finding the Fourth Proportional to 511,949, 706,402.14 and 297,039.80

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Solution

The fourth proportional to 511,949, 706,402.14 and 297,039.80 is: 409,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,949 : 706,402.14 = 297,039.80 : x
  2. Step 2: Convert to fraction form
    511,949/706,402.14 = 297,039.80/x
  3. Step 3: Cross multiply
    511,949x = 706,402.14 × 297,039.80
  4. Step 4: Simplify right side
    511,949x = 209,829,550,385.17
  5. Step 5: Solve for x
    x = 209,829,550,385.17/511,949
  6. Step 6: Final answer
    x = 409,864.17

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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.