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Finding the Fourth Proportional to 257,466.30, 385,969.05 and 99,642.30

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Solution

The fourth proportional to 257,466.30, 385,969.05 and 99,642.30 is: 149,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.30 : 385,969.05 = 99,642.30 : x
  2. Step 2: Convert to fraction form
    257,466.30/385,969.05 = 99,642.30/x
  3. Step 3: Cross multiply
    257,466.30x = 385,969.05 × 99,642.30
  4. Step 4: Simplify right side
    257,466.30x = 38,458,843,870.82
  5. Step 5: Solve for x
    x = 38,458,843,870.82/257,466.30
  6. Step 6: Final answer
    x = 149,374.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.