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Finding the Fourth Proportional to 390,625.20, 584,333.64 and 311,893.20

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Solution

The fourth proportional to 390,625.20, 584,333.64 and 311,893.20 is: 466,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,625.20 : 584,333.64 = 311,893.20 : x
  2. Step 2: Convert to fraction form
    390,625.20/584,333.64 = 311,893.20/x
  3. Step 3: Cross multiply
    390,625.20x = 584,333.64 × 311,893.20
  4. Step 4: Simplify right side
    390,625.20x = 182,249,688,847.25
  5. Step 5: Solve for x
    x = 182,249,688,847.25/390,625.20
  6. Step 6: Final answer
    x = 466,558.96

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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.