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Finding the Fourth Proportional to 561,762.84, 775,235.46 and 307,114.03

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Solution

The fourth proportional to 561,762.84, 775,235.46 and 307,114.03 is: 423,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,762.84 : 775,235.46 = 307,114.03 : x
  2. Step 2: Convert to fraction form
    561,762.84/775,235.46 = 307,114.03/x
  3. Step 3: Cross multiply
    561,762.84x = 775,235.46 × 307,114.03
  4. Step 4: Simplify right side
    561,762.84x = 238,085,686,712.71
  5. Step 5: Solve for x
    x = 238,085,686,712.71/561,762.84
  6. Step 6: Final answer
    x = 423,818.86

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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.