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Finding the Fourth Proportional to 566,407.18, 781,664.07 and 311,782.06

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Solution

The fourth proportional to 566,407.18, 781,664.07 and 311,782.06 is: 430,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,407.18 : 781,664.07 = 311,782.06 : x
  2. Step 2: Convert to fraction form
    566,407.18/781,664.07 = 311,782.06/x
  3. Step 3: Cross multiply
    566,407.18x = 781,664.07 × 311,782.06
  4. Step 4: Simplify right side
    566,407.18x = 243,708,833,972.58
  5. Step 5: Solve for x
    x = 243,708,833,972.58/566,407.18
  6. Step 6: Final answer
    x = 430,271.44

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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.