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Finding the Fourth Proportional to 402,264.40, 554,966.16 and 259,107.54

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Solution

The fourth proportional to 402,264.40, 554,966.16 and 259,107.54 is: 357,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,264.40 : 554,966.16 = 259,107.54 : x
  2. Step 2: Convert to fraction form
    402,264.40/554,966.16 = 259,107.54/x
  3. Step 3: Cross multiply
    402,264.40x = 554,966.16 × 259,107.54
  4. Step 4: Simplify right side
    402,264.40x = 143,795,912,430.48
  5. Step 5: Solve for x
    x = 143,795,912,430.48/402,264.40
  6. Step 6: Final answer
    x = 357,466.17

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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.