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Finding the Fourth Proportional to 385,257.96, 577,103.58 and 314,433

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Solution

The fourth proportional to 385,257.96, 577,103.58 and 314,433 is: 471,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,257.96 : 577,103.58 = 314,433 : x
  2. Step 2: Convert to fraction form
    385,257.96/577,103.58 = 314,433/x
  3. Step 3: Cross multiply
    385,257.96x = 577,103.58 × 314,433
  4. Step 4: Simplify right side
    385,257.96x = 181,460,409,970.14
  5. Step 5: Solve for x
    x = 181,460,409,970.14/385,257.96
  6. Step 6: Final answer
    x = 471,010.15

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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.