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Finding the Fourth Proportional to 405,938.88, 608,966.64 and 125,478

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Solution

The fourth proportional to 405,938.88, 608,966.64 and 125,478 is: 188,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938.88 : 608,966.64 = 125,478 : x
  2. Step 2: Convert to fraction form
    405,938.88/608,966.64 = 125,478/x
  3. Step 3: Cross multiply
    405,938.88x = 608,966.64 × 125,478
  4. Step 4: Simplify right side
    405,938.88x = 76,411,916,053.92
  5. Step 5: Solve for x
    x = 76,411,916,053.92/405,938.88
  6. Step 6: Final answer
    x = 188,235.03

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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.