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Finding the Fourth Proportional to 370,004.54, 510,704.94 and 208,953.86

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Solution

The fourth proportional to 370,004.54, 510,704.94 and 208,953.86 is: 288,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,004.54 : 510,704.94 = 208,953.86 : x
  2. Step 2: Convert to fraction form
    370,004.54/510,704.94 = 208,953.86/x
  3. Step 3: Cross multiply
    370,004.54x = 510,704.94 × 208,953.86
  4. Step 4: Simplify right side
    370,004.54x = 106,713,768,534.07
  5. Step 5: Solve for x
    x = 106,713,768,534.07/370,004.54
  6. Step 6: Final answer
    x = 288,412.05

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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.