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Finding the Fourth Proportional to 314,987.28, 472,482.80 and 78,329.96

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Solution

The fourth proportional to 314,987.28, 472,482.80 and 78,329.96 is: 117,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,987.28 : 472,482.80 = 78,329.96 : x
  2. Step 2: Convert to fraction form
    314,987.28/472,482.80 = 78,329.96/x
  3. Step 3: Cross multiply
    314,987.28x = 472,482.80 × 78,329.96
  4. Step 4: Simplify right side
    314,987.28x = 37,009,558,824.69
  5. Step 5: Solve for x
    x = 37,009,558,824.69/314,987.28
  6. Step 6: Final answer
    x = 117,495.41

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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.