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Finding the Fourth Proportional to 340,289.40, 509,915.70 and 287,412.60

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Solution

The fourth proportional to 340,289.40, 509,915.70 and 287,412.60 is: 430,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,289.40 : 509,915.70 = 287,412.60 : x
  2. Step 2: Convert to fraction form
    340,289.40/509,915.70 = 287,412.60/x
  3. Step 3: Cross multiply
    340,289.40x = 509,915.70 × 287,412.60
  4. Step 4: Simplify right side
    340,289.40x = 146,556,197,117.82
  5. Step 5: Solve for x
    x = 146,556,197,117.82/340,289.40
  6. Step 6: Final answer
    x = 430,681.05

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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.