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Finding the Fourth Proportional to 507,736.98, 700,684.70 and 278,292.47

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Solution

The fourth proportional to 507,736.98, 700,684.70 and 278,292.47 is: 384,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,736.98 : 700,684.70 = 278,292.47 : x
  2. Step 2: Convert to fraction form
    507,736.98/700,684.70 = 278,292.47/x
  3. Step 3: Cross multiply
    507,736.98x = 700,684.70 × 278,292.47
  4. Step 4: Simplify right side
    507,736.98x = 194,995,270,959.32
  5. Step 5: Solve for x
    x = 194,995,270,959.32/507,736.98
  6. Step 6: Final answer
    x = 384,047.80

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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.