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Finding the Fourth Proportional to 434,406.66, 651,405.51 and 168,291.78

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Solution

The fourth proportional to 434,406.66, 651,405.51 and 168,291.78 is: 252,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,406.66 : 651,405.51 = 168,291.78 : x
  2. Step 2: Convert to fraction form
    434,406.66/651,405.51 = 168,291.78/x
  3. Step 3: Cross multiply
    434,406.66x = 651,405.51 × 168,291.78
  4. Step 4: Simplify right side
    434,406.66x = 109,626,192,779.71
  5. Step 5: Solve for x
    x = 109,626,192,779.71/434,406.66
  6. Step 6: Final answer
    x = 252,358.45

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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.