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Finding the Fourth Proportional to 505,726.48, 698,041.60 and 314,625.92

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Solution

The fourth proportional to 505,726.48, 698,041.60 and 314,625.92 is: 434,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,726.48 : 698,041.60 = 314,625.92 : x
  2. Step 2: Convert to fraction form
    505,726.48/698,041.60 = 314,625.92/x
  3. Step 3: Cross multiply
    505,726.48x = 698,041.60 × 314,625.92
  4. Step 4: Simplify right side
    505,726.48x = 219,621,980,598.27
  5. Step 5: Solve for x
    x = 219,621,980,598.27/505,726.48
  6. Step 6: Final answer
    x = 434,270.28

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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.