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Finding the Fourth Proportional to 305,837.50, 422,055.76 and 171,701.50

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Solution

The fourth proportional to 305,837.50, 422,055.76 and 171,701.50 is: 236,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,837.50 : 422,055.76 = 171,701.50 : x
  2. Step 2: Convert to fraction form
    305,837.50/422,055.76 = 171,701.50/x
  3. Step 3: Cross multiply
    305,837.50x = 422,055.76 × 171,701.50
  4. Step 4: Simplify right side
    305,837.50x = 72,467,607,075.64
  5. Step 5: Solve for x
    x = 72,467,607,075.64/305,837.50
  6. Step 6: Final answer
    x = 236,948.08

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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.