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Finding the Fourth Proportional to 280,307.70, 420,461.55 and 231,100.20

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Solution

The fourth proportional to 280,307.70, 420,461.55 and 231,100.20 is: 346,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,307.70 : 420,461.55 = 231,100.20 : x
  2. Step 2: Convert to fraction form
    280,307.70/420,461.55 = 231,100.20/x
  3. Step 3: Cross multiply
    280,307.70x = 420,461.55 × 231,100.20
  4. Step 4: Simplify right side
    280,307.70x = 97,168,748,297.31
  5. Step 5: Solve for x
    x = 97,168,748,297.31/280,307.70
  6. Step 6: Final answer
    x = 346,650.30

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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.