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Finding the Fourth Proportional to 402,675, 604,012.50 and 107,187

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Solution

The fourth proportional to 402,675, 604,012.50 and 107,187 is: 160,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,675 : 604,012.50 = 107,187 : x
  2. Step 2: Convert to fraction form
    402,675/604,012.50 = 107,187/x
  3. Step 3: Cross multiply
    402,675x = 604,012.50 × 107,187
  4. Step 4: Simplify right side
    402,675x = 64,742,287,837.50
  5. Step 5: Solve for x
    x = 64,742,287,837.50/402,675
  6. Step 6: Final answer
    x = 160,780.50

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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.