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Finding the Fourth Proportional to 289,497.39, 399,657.63 and 224,821.53

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Solution

The fourth proportional to 289,497.39, 399,657.63 and 224,821.53 is: 310,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,497.39 : 399,657.63 = 224,821.53 : x
  2. Step 2: Convert to fraction form
    289,497.39/399,657.63 = 224,821.53/x
  3. Step 3: Cross multiply
    289,497.39x = 399,657.63 × 224,821.53
  4. Step 4: Simplify right side
    289,497.39x = 89,851,639,852.77
  5. Step 5: Solve for x
    x = 89,851,639,852.77/289,497.39
  6. Step 6: Final answer
    x = 310,371.16

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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.