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Finding the Fourth Proportional to 201,477.90, 302,216.85 and 142,428.90

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Solution

The fourth proportional to 201,477.90, 302,216.85 and 142,428.90 is: 213,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,477.90 : 302,216.85 = 142,428.90 : x
  2. Step 2: Convert to fraction form
    201,477.90/302,216.85 = 142,428.90/x
  3. Step 3: Cross multiply
    201,477.90x = 302,216.85 × 142,428.90
  4. Step 4: Simplify right side
    201,477.90x = 43,044,413,506.97
  5. Step 5: Solve for x
    x = 43,044,413,506.97/201,477.90
  6. Step 6: Final answer
    x = 213,643.35

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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.