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Finding the Fourth Proportional to 646,847.80, 972,021.30 and 569,865.40

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Solution

The fourth proportional to 646,847.80, 972,021.30 and 569,865.40 is: 856,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,847.80 : 972,021.30 = 569,865.40 : x
  2. Step 2: Convert to fraction form
    646,847.80/972,021.30 = 569,865.40/x
  3. Step 3: Cross multiply
    646,847.80x = 972,021.30 × 569,865.40
  4. Step 4: Simplify right side
    646,847.80x = 553,921,306,933.02
  5. Step 5: Solve for x
    x = 553,921,306,933.02/646,847.80
  6. Step 6: Final answer
    x = 856,339.48

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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.