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Finding the Fourth Proportional to 462,256.40, 692,639.40 and 261,981.20

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Solution

The fourth proportional to 462,256.40, 692,639.40 and 261,981.20 is: 392,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,256.40 : 692,639.40 = 261,981.20 : x
  2. Step 2: Convert to fraction form
    462,256.40/692,639.40 = 261,981.20/x
  3. Step 3: Cross multiply
    462,256.40x = 692,639.40 × 261,981.20
  4. Step 4: Simplify right side
    462,256.40x = 181,458,501,179.28
  5. Step 5: Solve for x
    x = 181,458,501,179.28/462,256.40
  6. Step 6: Final answer
    x = 392,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.