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Finding the Fourth Proportional to 320,756.91, 480,995.23 and 152,325.51

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Solution

The fourth proportional to 320,756.91, 480,995.23 and 152,325.51 is: 228,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,756.91 : 480,995.23 = 152,325.51 : x
  2. Step 2: Convert to fraction form
    320,756.91/480,995.23 = 152,325.51/x
  3. Step 3: Cross multiply
    320,756.91x = 480,995.23 × 152,325.51
  4. Step 4: Simplify right side
    320,756.91x = 73,267,843,717.32
  5. Step 5: Solve for x
    x = 73,267,843,717.32/320,756.91
  6. Step 6: Final answer
    x = 228,421.72

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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.