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Finding the Fourth Proportional to 468,970.64, 647,402.64 and 314,188.45

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Solution

The fourth proportional to 468,970.64, 647,402.64 and 314,188.45 is: 433,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,970.64 : 647,402.64 = 314,188.45 : x
  2. Step 2: Convert to fraction form
    468,970.64/647,402.64 = 314,188.45/x
  3. Step 3: Cross multiply
    468,970.64x = 647,402.64 × 314,188.45
  4. Step 4: Simplify right side
    468,970.64x = 203,406,431,987.51
  5. Step 5: Solve for x
    x = 203,406,431,987.51/468,970.64
  6. Step 6: Final answer
    x = 433,729.57

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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.