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Finding the Fourth Proportional to 434,065.86, 651,132.45 and 130,436.31

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Solution

The fourth proportional to 434,065.86, 651,132.45 and 130,436.31 is: 195,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,065.86 : 651,132.45 = 130,436.31 : x
  2. Step 2: Convert to fraction form
    434,065.86/651,132.45 = 130,436.31/x
  3. Step 3: Cross multiply
    434,065.86x = 651,132.45 × 130,436.31
  4. Step 4: Simplify right side
    434,065.86x = 84,931,314,099.26
  5. Step 5: Solve for x
    x = 84,931,314,099.26/434,065.86
  6. Step 6: Final answer
    x = 195,664.58

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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.