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Finding the Fourth Proportional to 307,406.16, 424,156.32 and 186,611.04

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Solution

The fourth proportional to 307,406.16, 424,156.32 and 186,611.04 is: 257,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,406.16 : 424,156.32 = 186,611.04 : x
  2. Step 2: Convert to fraction form
    307,406.16/424,156.32 = 186,611.04/x
  3. Step 3: Cross multiply
    307,406.16x = 424,156.32 × 186,611.04
  4. Step 4: Simplify right side
    307,406.16x = 79,152,251,997.77
  5. Step 5: Solve for x
    x = 79,152,251,997.77/307,406.16
  6. Step 6: Final answer
    x = 257,484.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.