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Finding the Fourth Proportional to 450,766.93, 622,075.12 and 257,206.15

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Solution

The fourth proportional to 450,766.93, 622,075.12 and 257,206.15 is: 354,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,766.93 : 622,075.12 = 257,206.15 : x
  2. Step 2: Convert to fraction form
    450,766.93/622,075.12 = 257,206.15/x
  3. Step 3: Cross multiply
    450,766.93x = 622,075.12 × 257,206.15
  4. Step 4: Simplify right side
    450,766.93x = 160,001,549,956.94
  5. Step 5: Solve for x
    x = 160,001,549,956.94/450,766.93
  6. Step 6: Final answer
    x = 354,954.05

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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.