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Finding the Fourth Proportional to 504,970.79, 697,112.21 and 314,045.69

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Solution

The fourth proportional to 504,970.79, 697,112.21 and 314,045.69 is: 433,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.79 : 697,112.21 = 314,045.69 : x
  2. Step 2: Convert to fraction form
    504,970.79/697,112.21 = 314,045.69/x
  3. Step 3: Cross multiply
    504,970.79x = 697,112.21 × 314,045.69
  4. Step 4: Simplify right side
    504,970.79x = 218,925,084,996.88
  5. Step 5: Solve for x
    x = 218,925,084,996.88/504,970.79
  6. Step 6: Final answer
    x = 433,540.10

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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.