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Finding the Fourth Proportional to 331,630, 457,652.64 and 180,730.24

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Solution

The fourth proportional to 331,630, 457,652.64 and 180,730.24 is: 249,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,630 : 457,652.64 = 180,730.24 : x
  2. Step 2: Convert to fraction form
    331,630/457,652.64 = 180,730.24/x
  3. Step 3: Cross multiply
    331,630x = 457,652.64 × 180,730.24
  4. Step 4: Simplify right side
    331,630x = 82,711,671,463.83
  5. Step 5: Solve for x
    x = 82,711,671,463.83/331,630
  6. Step 6: Final answer
    x = 249,409.50

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1.5x scale

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.