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Finding the Fourth Proportional to 314,928.80, 472,393.20 and 302,681.60

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Solution

The fourth proportional to 314,928.80, 472,393.20 and 302,681.60 is: 454,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928.80 : 472,393.20 = 302,681.60 : x
  2. Step 2: Convert to fraction form
    314,928.80/472,393.20 = 302,681.60/x
  3. Step 3: Cross multiply
    314,928.80x = 472,393.20 × 302,681.60
  4. Step 4: Simplify right side
    314,928.80x = 142,984,729,605.12
  5. Step 5: Solve for x
    x = 142,984,729,605.12/314,928.80
  6. Step 6: Final answer
    x = 454,022.40

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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.