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Finding the Fourth Proportional to 413,838.04, 620,658.64 and 114,312

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Solution

The fourth proportional to 413,838.04, 620,658.64 and 114,312 is: 171,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,838.04 : 620,658.64 = 114,312 : x
  2. Step 2: Convert to fraction form
    413,838.04/620,658.64 = 114,312/x
  3. Step 3: Cross multiply
    413,838.04x = 620,658.64 × 114,312
  4. Step 4: Simplify right side
    413,838.04x = 70,948,730,455.68
  5. Step 5: Solve for x
    x = 70,948,730,455.68/413,838.04
  6. Step 6: Final answer
    x = 171,440.81

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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.