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Finding the Fourth Proportional to 562,089.78, 775,690.02 and 307,435.50

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Solution

The fourth proportional to 562,089.78, 775,690.02 and 307,435.50 is: 424,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,089.78 : 775,690.02 = 307,435.50 : x
  2. Step 2: Convert to fraction form
    562,089.78/775,690.02 = 307,435.50/x
  3. Step 3: Cross multiply
    562,089.78x = 775,690.02 × 307,435.50
  4. Step 4: Simplify right side
    562,089.78x = 238,474,649,143.71
  5. Step 5: Solve for x
    x = 238,474,649,143.71/562,089.78
  6. Step 6: Final answer
    x = 424,264.34

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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.