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Finding the Fourth Proportional to 508,084.83, 701,158.06 and 278,643.74

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Solution

The fourth proportional to 508,084.83, 701,158.06 and 278,643.74 is: 384,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,084.83 : 701,158.06 = 278,643.74 : x
  2. Step 2: Convert to fraction form
    508,084.83/701,158.06 = 278,643.74/x
  3. Step 3: Cross multiply
    508,084.83x = 701,158.06 × 278,643.74
  4. Step 4: Simplify right side
    508,084.83x = 195,373,301,012.06
  5. Step 5: Solve for x
    x = 195,373,301,012.06/508,084.83
  6. Step 6: Final answer
    x = 384,528.90

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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.