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Finding the Fourth Proportional to 430,815.40, 646,223.10 and 341,585.80

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Solution

The fourth proportional to 430,815.40, 646,223.10 and 341,585.80 is: 512,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,815.40 : 646,223.10 = 341,585.80 : x
  2. Step 2: Convert to fraction form
    430,815.40/646,223.10 = 341,585.80/x
  3. Step 3: Cross multiply
    430,815.40x = 646,223.10 × 341,585.80
  4. Step 4: Simplify right side
    430,815.40x = 220,740,634,591.98
  5. Step 5: Solve for x
    x = 220,740,634,591.98/430,815.40
  6. Step 6: Final answer
    x = 512,378.70

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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.