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Finding the Fourth Proportional to 340,047.40, 508,904.70 and 312,053.80

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Solution

The fourth proportional to 340,047.40, 508,904.70 and 312,053.80 is: 467,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,047.40 : 508,904.70 = 312,053.80 : x
  2. Step 2: Convert to fraction form
    340,047.40/508,904.70 = 312,053.80/x
  3. Step 3: Cross multiply
    340,047.40x = 508,904.70 × 312,053.80
  4. Step 4: Simplify right side
    340,047.40x = 158,805,645,472.86
  5. Step 5: Solve for x
    x = 158,805,645,472.86/340,047.40
  6. Step 6: Final answer
    x = 467,010.32

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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.