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Finding the Fourth Proportional to 515,703.24, 711,682.74 and 289,365.48

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Solution

The fourth proportional to 515,703.24, 711,682.74 and 289,365.48 is: 399,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,703.24 : 711,682.74 = 289,365.48 : x
  2. Step 2: Convert to fraction form
    515,703.24/711,682.74 = 289,365.48/x
  3. Step 3: Cross multiply
    515,703.24x = 711,682.74 × 289,365.48
  4. Step 4: Simplify right side
    515,703.24x = 205,936,417,667.82
  5. Step 5: Solve for x
    x = 205,936,417,667.82/515,703.24
  6. Step 6: Final answer
    x = 399,331.25

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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.