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Finding the Fourth Proportional to 511,946, 706,398 and 297,036.80

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Solution

The fourth proportional to 511,946, 706,398 and 297,036.80 is: 409,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,946 : 706,398 = 297,036.80 : x
  2. Step 2: Convert to fraction form
    511,946/706,398 = 297,036.80/x
  3. Step 3: Cross multiply
    511,946x = 706,398 × 297,036.80
  4. Step 4: Simplify right side
    511,946x = 209,826,201,446.40
  5. Step 5: Solve for x
    x = 209,826,201,446.40/511,946
  6. Step 6: Final answer
    x = 409,860.03

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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.