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Finding the Fourth Proportional to 647,509.76, 970,433.40 and 310,044.74

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Solution

The fourth proportional to 647,509.76, 970,433.40 and 310,044.74 is: 464,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,509.76 : 970,433.40 = 310,044.74 : x
  2. Step 2: Convert to fraction form
    647,509.76/970,433.40 = 310,044.74/x
  3. Step 3: Cross multiply
    647,509.76x = 970,433.40 × 310,044.74
  4. Step 4: Simplify right side
    647,509.76x = 300,877,771,190.32
  5. Step 5: Solve for x
    x = 300,877,771,190.32/647,509.76
  6. Step 6: Final answer
    x = 464,669.09

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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.