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Finding the Fourth Proportional to 302,885.40, 454,328.10 and 280,075.80

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Solution

The fourth proportional to 302,885.40, 454,328.10 and 280,075.80 is: 420,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,885.40 : 454,328.10 = 280,075.80 : x
  2. Step 2: Convert to fraction form
    302,885.40/454,328.10 = 280,075.80/x
  3. Step 3: Cross multiply
    302,885.40x = 454,328.10 × 280,075.80
  4. Step 4: Simplify right side
    302,885.40x = 127,246,306,069.98
  5. Step 5: Solve for x
    x = 127,246,306,069.98/302,885.40
  6. Step 6: Final answer
    x = 420,113.70

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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.