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Finding the Fourth Proportional to 370,352.83, 511,128.50 and 209,218.32

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Solution

The fourth proportional to 370,352.83, 511,128.50 and 209,218.32 is: 288,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,352.83 : 511,128.50 = 209,218.32 : x
  2. Step 2: Convert to fraction form
    370,352.83/511,128.50 = 209,218.32/x
  3. Step 3: Cross multiply
    370,352.83x = 511,128.50 × 209,218.32
  4. Step 4: Simplify right side
    370,352.83x = 106,937,446,074.12
  5. Step 5: Solve for x
    x = 106,937,446,074.12/370,352.83
  6. Step 6: Final answer
    x = 288,744.78

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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.