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Finding the Fourth Proportional to 536,421.80, 805,247.10 and 314,930.60

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Solution

The fourth proportional to 536,421.80, 805,247.10 and 314,930.60 is: 472,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,421.80 : 805,247.10 = 314,930.60 : x
  2. Step 2: Convert to fraction form
    536,421.80/805,247.10 = 314,930.60/x
  3. Step 3: Cross multiply
    536,421.80x = 805,247.10 × 314,930.60
  4. Step 4: Simplify right side
    536,421.80x = 253,596,952,351.26
  5. Step 5: Solve for x
    x = 253,596,952,351.26/536,421.80
  6. Step 6: Final answer
    x = 472,756.61

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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.