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Finding the Fourth Proportional to 647,389.80, 971,376.30 and 310,300.20

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Solution

The fourth proportional to 647,389.80, 971,376.30 and 310,300.20 is: 465,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,389.80 : 971,376.30 = 310,300.20 : x
  2. Step 2: Convert to fraction form
    647,389.80/971,376.30 = 310,300.20/x
  3. Step 3: Cross multiply
    647,389.80x = 971,376.30 × 310,300.20
  4. Step 4: Simplify right side
    647,389.80x = 301,418,260,165.26
  5. Step 5: Solve for x
    x = 301,418,260,165.26/647,389.80
  6. Step 6: Final answer
    x = 465,590.07

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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.