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Finding the Fourth Proportional to 407,108.40, 610,664.16 and 170,285.00

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Solution

The fourth proportional to 407,108.40, 610,664.16 and 170,285.00 is: 255,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,108.40 : 610,664.16 = 170,285.00 : x
  2. Step 2: Convert to fraction form
    407,108.40/610,664.16 = 170,285.00/x
  3. Step 3: Cross multiply
    407,108.40x = 610,664.16 × 170,285.00
  4. Step 4: Simplify right side
    407,108.40x = 103,986,943,432.28
  5. Step 5: Solve for x
    x = 103,986,943,432.28/407,108.40
  6. Step 6: Final answer
    x = 255,428.15

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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.