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Finding the Fourth Proportional to 407,551.04, 611,129.94 and 170,830.16

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Solution

The fourth proportional to 407,551.04, 611,129.94 and 170,830.16 is: 256,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,551.04 : 611,129.94 = 170,830.16 : x
  2. Step 2: Convert to fraction form
    407,551.04/611,129.94 = 170,830.16/x
  3. Step 3: Cross multiply
    407,551.04x = 611,129.94 × 170,830.16
  4. Step 4: Simplify right side
    407,551.04x = 104,399,425,430.99
  5. Step 5: Solve for x
    x = 104,399,425,430.99/407,551.04
  6. Step 6: Final answer
    x = 256,162.82

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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.