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Finding the Fourth Proportional to 614,402.48, 847,879.26 and 342,487.64

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Solution

The fourth proportional to 614,402.48, 847,879.26 and 342,487.64 is: 472,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,402.48 : 847,879.26 = 342,487.64 : x
  2. Step 2: Convert to fraction form
    614,402.48/847,879.26 = 342,487.64/x
  3. Step 3: Cross multiply
    614,402.48x = 847,879.26 × 342,487.64
  4. Step 4: Simplify right side
    614,402.48x = 290,388,166,762.35
  5. Step 5: Solve for x
    x = 290,388,166,762.35/614,402.48
  6. Step 6: Final answer
    x = 472,635.08

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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.