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Finding the Fourth Proportional to 357,322.76, 493,336.14 and 221,501.18

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Solution

The fourth proportional to 357,322.76, 493,336.14 and 221,501.18 is: 305,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,322.76 : 493,336.14 = 221,501.18 : x
  2. Step 2: Convert to fraction form
    357,322.76/493,336.14 = 221,501.18/x
  3. Step 3: Cross multiply
    357,322.76x = 493,336.14 × 221,501.18
  4. Step 4: Simplify right side
    357,322.76x = 109,274,537,146.65
  5. Step 5: Solve for x
    x = 109,274,537,146.65/357,322.76
  6. Step 6: Final answer
    x = 305,814.66

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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.