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Finding the Fourth Proportional to 340,042.40, 508,897.20 and 312,048.80

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Solution

The fourth proportional to 340,042.40, 508,897.20 and 312,048.80 is: 467,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,042.40 : 508,897.20 = 312,048.80 : x
  2. Step 2: Convert to fraction form
    340,042.40/508,897.20 = 312,048.80/x
  3. Step 3: Cross multiply
    340,042.40x = 508,897.20 × 312,048.80
  4. Step 4: Simplify right side
    340,042.40x = 158,800,760,583.36
  5. Step 5: Solve for x
    x = 158,800,760,583.36/340,042.40
  6. Step 6: Final answer
    x = 467,002.82

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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.