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Finding the Fourth Proportional to 369,221.37, 509,695.58 and 216,238.29

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Solution

The fourth proportional to 369,221.37, 509,695.58 and 216,238.29 is: 298,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,221.37 : 509,695.58 = 216,238.29 : x
  2. Step 2: Convert to fraction form
    369,221.37/509,695.58 = 216,238.29/x
  3. Step 3: Cross multiply
    369,221.37x = 509,695.58 × 216,238.29
  4. Step 4: Simplify right side
    369,221.37x = 110,215,700,639.76
  5. Step 5: Solve for x
    x = 110,215,700,639.76/369,221.37
  6. Step 6: Final answer
    x = 298,508.45

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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.