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Finding the Fourth Proportional to 512,032.12, 767,980.74 and 152,195.29

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Solution

The fourth proportional to 512,032.12, 767,980.74 and 152,195.29 is: 228,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,032.12 : 767,980.74 = 152,195.29 : x
  2. Step 2: Convert to fraction form
    512,032.12/767,980.74 = 152,195.29/x
  3. Step 3: Cross multiply
    512,032.12x = 767,980.74 × 152,195.29
  4. Step 4: Simplify right side
    512,032.12x = 116,883,051,438.72
  5. Step 5: Solve for x
    x = 116,883,051,438.72/512,032.12
  6. Step 6: Final answer
    x = 228,272.89

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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.