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Finding the Fourth Proportional to 401,438.80, 602,012.40 and 201,692.80

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Solution

The fourth proportional to 401,438.80, 602,012.40 and 201,692.80 is: 302,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,438.80 : 602,012.40 = 201,692.80 : x
  2. Step 2: Convert to fraction form
    401,438.80/602,012.40 = 201,692.80/x
  3. Step 3: Cross multiply
    401,438.80x = 602,012.40 × 201,692.80
  4. Step 4: Simplify right side
    401,438.80x = 121,421,566,590.72
  5. Step 5: Solve for x
    x = 121,421,566,590.72/401,438.80
  6. Step 6: Final answer
    x = 302,465.95

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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.