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Finding the Fourth Proportional to 419,510.80, 579,139.50 and 284,259.52

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Solution

The fourth proportional to 419,510.80, 579,139.50 and 284,259.52 is: 392,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,510.80 : 579,139.50 = 284,259.52 : x
  2. Step 2: Convert to fraction form
    419,510.80/579,139.50 = 284,259.52/x
  3. Step 3: Cross multiply
    419,510.80x = 579,139.50 × 284,259.52
  4. Step 4: Simplify right side
    419,510.80x = 164,625,916,283.04
  5. Step 5: Solve for x
    x = 164,625,916,283.04/419,510.80
  6. Step 6: Final answer
    x = 392,423.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.