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Finding the Fourth Proportional to 476,139, 714,408.78 and 296,374.74

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Solution

The fourth proportional to 476,139, 714,408.78 and 296,374.74 is: 444,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,139 : 714,408.78 = 296,374.74 : x
  2. Step 2: Convert to fraction form
    476,139/714,408.78 = 296,374.74/x
  3. Step 3: Cross multiply
    476,139x = 714,408.78 × 296,374.74
  4. Step 4: Simplify right side
    476,139x = 211,732,716,426.22
  5. Step 5: Solve for x
    x = 211,732,716,426.22/476,139
  6. Step 6: Final answer
    x = 444,686.78

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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.