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Finding the Fourth Proportional to 340,307.40, 509,942.70 and 287,430.60

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Solution

The fourth proportional to 340,307.40, 509,942.70 and 287,430.60 is: 430,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,307.40 : 509,942.70 = 287,430.60 : x
  2. Step 2: Convert to fraction form
    340,307.40/509,942.70 = 287,430.60/x
  3. Step 3: Cross multiply
    340,307.40x = 509,942.70 × 287,430.60
  4. Step 4: Simplify right side
    340,307.40x = 146,573,136,226.62
  5. Step 5: Solve for x
    x = 146,573,136,226.62/340,307.40
  6. Step 6: Final answer
    x = 430,708.05

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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.