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Finding the Fourth Proportional to 369,354.48, 509,710.91 and 216,419.87

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Solution

The fourth proportional to 369,354.48, 509,710.91 and 216,419.87 is: 298,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,354.48 : 509,710.91 = 216,419.87 : x
  2. Step 2: Convert to fraction form
    369,354.48/509,710.91 = 216,419.87/x
  3. Step 3: Cross multiply
    369,354.48x = 509,710.91 × 216,419.87
  4. Step 4: Simplify right side
    369,354.48x = 110,311,565,249.13
  5. Step 5: Solve for x
    x = 110,311,565,249.13/369,354.48
  6. Step 6: Final answer
    x = 298,660.42

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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.