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Finding the Fourth Proportional to 448,807.62, 619,409.28 and 257,820.54

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Solution

The fourth proportional to 448,807.62, 619,409.28 and 257,820.54 is: 355,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,807.62 : 619,409.28 = 257,820.54 : x
  2. Step 2: Convert to fraction form
    448,807.62/619,409.28 = 257,820.54/x
  3. Step 3: Cross multiply
    448,807.62x = 619,409.28 × 257,820.54
  4. Step 4: Simplify right side
    448,807.62x = 159,696,435,050.61
  5. Step 5: Solve for x
    x = 159,696,435,050.61/448,807.62
  6. Step 6: Final answer
    x = 355,823.80

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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.