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Finding the Fourth Proportional to 630,913.40, 946,370.10 and 406,964.60

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Solution

The fourth proportional to 630,913.40, 946,370.10 and 406,964.60 is: 610,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,913.40 : 946,370.10 = 406,964.60 : x
  2. Step 2: Convert to fraction form
    630,913.40/946,370.10 = 406,964.60/x
  3. Step 3: Cross multiply
    630,913.40x = 946,370.10 × 406,964.60
  4. Step 4: Simplify right side
    630,913.40x = 385,139,129,198.46
  5. Step 5: Solve for x
    x = 385,139,129,198.46/630,913.40
  6. Step 6: Final answer
    x = 610,446.90

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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.