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Finding the Fourth Proportional to 713,047.43, 984,005.45 and 390,764.96

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Solution

The fourth proportional to 713,047.43, 984,005.45 and 390,764.96 is: 539,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,047.43 : 984,005.45 = 390,764.96 : x
  2. Step 2: Convert to fraction form
    713,047.43/984,005.45 = 390,764.96/x
  3. Step 3: Cross multiply
    713,047.43x = 984,005.45 × 390,764.96
  4. Step 4: Simplify right side
    713,047.43x = 384,514,850,239.11
  5. Step 5: Solve for x
    x = 384,514,850,239.11/713,047.43
  6. Step 6: Final answer
    x = 539,255.64

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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.