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Finding the Fourth Proportional to 476,886.86, 715,441.02 and 139,913.90

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Solution

The fourth proportional to 476,886.86, 715,441.02 and 139,913.90 is: 209,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,886.86 : 715,441.02 = 139,913.90 : x
  2. Step 2: Convert to fraction form
    476,886.86/715,441.02 = 139,913.90/x
  3. Step 3: Cross multiply
    476,886.86x = 715,441.02 × 139,913.90
  4. Step 4: Simplify right side
    476,886.86x = 100,100,143,328.18
  5. Step 5: Solve for x
    x = 100,100,143,328.18/476,886.86
  6. Step 6: Final answer
    x = 209,903.34

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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.