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Finding the Fourth Proportional to 385,628.60, 578,442.90 and 259,657.40

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Solution

The fourth proportional to 385,628.60, 578,442.90 and 259,657.40 is: 389,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,628.60 : 578,442.90 = 259,657.40 : x
  2. Step 2: Convert to fraction form
    385,628.60/578,442.90 = 259,657.40/x
  3. Step 3: Cross multiply
    385,628.60x = 578,442.90 × 259,657.40
  4. Step 4: Simplify right side
    385,628.60x = 150,196,979,462.46
  5. Step 5: Solve for x
    x = 150,196,979,462.46/385,628.60
  6. Step 6: Final answer
    x = 389,486.10

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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.