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Finding the Fourth Proportional to 385,625.70, 578,438.55 and 346,356.90

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Solution

The fourth proportional to 385,625.70, 578,438.55 and 346,356.90 is: 519,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,625.70 : 578,438.55 = 346,356.90 : x
  2. Step 2: Convert to fraction form
    385,625.70/578,438.55 = 346,356.90/x
  3. Step 3: Cross multiply
    385,625.70x = 578,438.55 × 346,356.90
  4. Step 4: Simplify right side
    385,625.70x = 200,346,183,018.50
  5. Step 5: Solve for x
    x = 200,346,183,018.50/385,625.70
  6. Step 6: Final answer
    x = 519,535.35

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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.