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Finding the Fourth Proportional to 430,884.71, 646,397.12 and 127,309.67

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Solution

The fourth proportional to 430,884.71, 646,397.12 and 127,309.67 is: 190,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,884.71 : 646,397.12 = 127,309.67 : x
  2. Step 2: Convert to fraction form
    430,884.71/646,397.12 = 127,309.67/x
  3. Step 3: Cross multiply
    430,884.71x = 646,397.12 × 127,309.67
  4. Step 4: Simplify right side
    430,884.71x = 82,292,601,122.44
  5. Step 5: Solve for x
    x = 82,292,601,122.44/430,884.71
  6. Step 6: Final answer
    x = 190,985.20

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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.