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Finding the Fourth Proportional to 713,808.60, 985,138.20 and 427,328.52

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Solution

The fourth proportional to 713,808.60, 985,138.20 and 427,328.52 is: 589,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,808.60 : 985,138.20 = 427,328.52 : x
  2. Step 2: Convert to fraction form
    713,808.60/985,138.20 = 427,328.52/x
  3. Step 3: Cross multiply
    713,808.60x = 985,138.20 × 427,328.52
  4. Step 4: Simplify right side
    713,808.60x = 420,977,649,001.46
  5. Step 5: Solve for x
    x = 420,977,649,001.46/713,808.60
  6. Step 6: Final answer
    x = 589,762.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.