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Finding the Fourth Proportional to 566,406.93, 781,663.73 and 311,781.81

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Solution

The fourth proportional to 566,406.93, 781,663.73 and 311,781.81 is: 430,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,406.93 : 781,663.73 = 311,781.81 : x
  2. Step 2: Convert to fraction form
    566,406.93/781,663.73 = 311,781.81/x
  3. Step 3: Cross multiply
    566,406.93x = 781,663.73 × 311,781.81
  4. Step 4: Simplify right side
    566,406.93x = 243,708,530,991.84
  5. Step 5: Solve for x
    x = 243,708,530,991.84/566,406.93
  6. Step 6: Final answer
    x = 430,271.10

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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.