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Finding the Fourth Proportional to 385,594.83, 578,078.47 and 258,848.56

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Solution

The fourth proportional to 385,594.83, 578,078.47 and 258,848.56 is: 388,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,594.83 : 578,078.47 = 258,848.56 : x
  2. Step 2: Convert to fraction form
    385,594.83/578,078.47 = 258,848.56/x
  3. Step 3: Cross multiply
    385,594.83x = 578,078.47 × 258,848.56
  4. Step 4: Simplify right side
    385,594.83x = 149,634,780,572.66
  5. Step 5: Solve for x
    x = 149,634,780,572.66/385,594.83
  6. Step 6: Final answer
    x = 388,062.21

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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.