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Finding the Fourth Proportional to 705,021.47, 972,930.84 and 403,215.47

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Solution

The fourth proportional to 705,021.47, 972,930.84 and 403,215.47 is: 556,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,021.47 : 972,930.84 = 403,215.47 : x
  2. Step 2: Convert to fraction form
    705,021.47/972,930.84 = 403,215.47/x
  3. Step 3: Cross multiply
    705,021.47x = 972,930.84 × 403,215.47
  4. Step 4: Simplify right side
    705,021.47x = 392,300,765,467.96
  5. Step 5: Solve for x
    x = 392,300,765,467.96/705,021.47
  6. Step 6: Final answer
    x = 556,438.04

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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.