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Finding the Fourth Proportional to 421,826.81, 582,030.97 and 249,798.80

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Solution

The fourth proportional to 421,826.81, 582,030.97 and 249,798.80 is: 344,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,826.81 : 582,030.97 = 249,798.80 : x
  2. Step 2: Convert to fraction form
    421,826.81/582,030.97 = 249,798.80/x
  3. Step 3: Cross multiply
    421,826.81x = 582,030.97 × 249,798.80
  4. Step 4: Simplify right side
    421,826.81x = 145,390,638,699.42
  5. Step 5: Solve for x
    x = 145,390,638,699.42/421,826.81
  6. Step 6: Final answer
    x = 344,669.04

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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.