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Finding the Fourth Proportional to 511,649.52, 767,569.05 and 174,671.70

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Solution

The fourth proportional to 511,649.52, 767,569.05 and 174,671.70 is: 262,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,649.52 : 767,569.05 = 174,671.70 : x
  2. Step 2: Convert to fraction form
    511,649.52/767,569.05 = 174,671.70/x
  3. Step 3: Cross multiply
    511,649.52x = 767,569.05 × 174,671.70
  4. Step 4: Simplify right side
    511,649.52x = 134,072,590,830.89
  5. Step 5: Solve for x
    x = 134,072,590,830.89/511,649.52
  6. Step 6: Final answer
    x = 262,039.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.