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Finding the Fourth Proportional to 705,021, 972,930.20 and 403,215

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Solution

The fourth proportional to 705,021, 972,930.20 and 403,215 is: 556,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,021 : 972,930.20 = 403,215 : x
  2. Step 2: Convert to fraction form
    705,021/972,930.20 = 403,215/x
  3. Step 3: Cross multiply
    705,021x = 972,930.20 × 403,215
  4. Step 4: Simplify right side
    705,021x = 392,300,048,576.93
  5. Step 5: Solve for x
    x = 392,300,048,576.93/705,021
  6. Step 6: Final answer
    x = 556,437.39

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1.5x scale

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.