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Finding the Fourth Proportional to 578,780.46, 798,994.26 and 385,509.78

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Solution

The fourth proportional to 578,780.46, 798,994.26 and 385,509.78 is: 532,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,780.46 : 798,994.26 = 385,509.78 : x
  2. Step 2: Convert to fraction form
    578,780.46/798,994.26 = 385,509.78/x
  3. Step 3: Cross multiply
    578,780.46x = 798,994.26 × 385,509.78
  4. Step 4: Simplify right side
    578,780.46x = 308,020,101,393.86
  5. Step 5: Solve for x
    x = 308,020,101,393.86/578,780.46
  6. Step 6: Final answer
    x = 532,188.15

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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.