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Finding the Fourth Proportional to 402,143.40, 603,214.71 and 102,623.98

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Solution

The fourth proportional to 402,143.40, 603,214.71 and 102,623.98 is: 153,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,143.40 : 603,214.71 = 102,623.98 : x
  2. Step 2: Convert to fraction form
    402,143.40/603,214.71 = 102,623.98/x
  3. Step 3: Cross multiply
    402,143.40x = 603,214.71 × 102,623.98
  4. Step 4: Simplify right side
    402,143.40x = 61,904,294,334.75
  5. Step 5: Solve for x
    x = 61,904,294,334.75/402,143.40
  6. Step 6: Final answer
    x = 153,935.87

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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.