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Finding the Fourth Proportional to 749,932, 1,124,902 and 306,700

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Solution

The fourth proportional to 749,932, 1,124,902 and 306,700 is: 460,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,932 : 1,124,902 = 306,700 : x
  2. Step 2: Convert to fraction form
    749,932/1,124,902 = 306,700/x
  3. Step 3: Cross multiply
    749,932x = 1,124,902 × 306,700
  4. Step 4: Simplify right side
    749,932x = 345,007,443,400
  5. Step 5: Solve for x
    x = 345,007,443,400/749,932
  6. Step 6: Final answer
    x = 460,051.64

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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.