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Finding the Fourth Proportional to 255,510.76, 382,916.70 and 130,589.80

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Solution

The fourth proportional to 255,510.76, 382,916.70 and 130,589.80 is: 195,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,510.76 : 382,916.70 = 130,589.80 : x
  2. Step 2: Convert to fraction form
    255,510.76/382,916.70 = 130,589.80/x
  3. Step 3: Cross multiply
    255,510.76x = 382,916.70 × 130,589.80
  4. Step 4: Simplify right side
    255,510.76x = 50,005,015,269.66
  5. Step 5: Solve for x
    x = 50,005,015,269.66/255,510.76
  6. Step 6: Final answer
    x = 195,706.10

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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.