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Finding the Fourth Proportional to 462,511.56, 693,886.71 and 142,656.20

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Solution

The fourth proportional to 462,511.56, 693,886.71 and 142,656.20 is: 214,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,511.56 : 693,886.71 = 142,656.20 : x
  2. Step 2: Convert to fraction form
    462,511.56/693,886.71 = 142,656.20/x
  3. Step 3: Cross multiply
    462,511.56x = 693,886.71 × 142,656.20
  4. Step 4: Simplify right side
    462,511.56x = 98,987,237,809.67
  5. Step 5: Solve for x
    x = 98,987,237,809.67/462,511.56
  6. Step 6: Final answer
    x = 214,021.11

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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.