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Finding the Fourth Proportional to 589,782.80, 883,701.40 and 340,029.20

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Solution

The fourth proportional to 589,782.80, 883,701.40 and 340,029.20 is: 509,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,782.80 : 883,701.40 = 340,029.20 : x
  2. Step 2: Convert to fraction form
    589,782.80/883,701.40 = 340,029.20/x
  3. Step 3: Cross multiply
    589,782.80x = 883,701.40 × 340,029.20
  4. Step 4: Simplify right side
    589,782.80x = 300,484,280,080.88
  5. Step 5: Solve for x
    x = 300,484,280,080.88/589,782.80
  6. Step 6: Final answer
    x = 509,482.95

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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.