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Finding the Fourth Proportional to 287,748, 431,777.52 and 140,004

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Solution

The fourth proportional to 287,748, 431,777.52 and 140,004 is: 210,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,748 : 431,777.52 = 140,004 : x
  2. Step 2: Convert to fraction form
    287,748/431,777.52 = 140,004/x
  3. Step 3: Cross multiply
    287,748x = 431,777.52 × 140,004
  4. Step 4: Simplify right side
    287,748x = 60,450,579,910.08
  5. Step 5: Solve for x
    x = 60,450,579,910.08/287,748
  6. Step 6: Final answer
    x = 210,081.67

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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.