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Finding the Fourth Proportional to 390,941.20, 586,411.80 and 255,638.80

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Solution

The fourth proportional to 390,941.20, 586,411.80 and 255,638.80 is: 383,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,941.20 : 586,411.80 = 255,638.80 : x
  2. Step 2: Convert to fraction form
    390,941.20/586,411.80 = 255,638.80/x
  3. Step 3: Cross multiply
    390,941.20x = 586,411.80 × 255,638.80
  4. Step 4: Simplify right side
    390,941.20x = 149,909,608,857.84
  5. Step 5: Solve for x
    x = 149,909,608,857.84/390,941.20
  6. Step 6: Final answer
    x = 383,458.20

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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.