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Finding the Fourth Proportional to 489,421.10, 734,130.23 and 134,435.47

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Solution

The fourth proportional to 489,421.10, 734,130.23 and 134,435.47 is: 201,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,421.10 : 734,130.23 = 134,435.47 : x
  2. Step 2: Convert to fraction form
    489,421.10/734,130.23 = 134,435.47/x
  3. Step 3: Cross multiply
    489,421.10x = 734,130.23 × 134,435.47
  4. Step 4: Simplify right side
    489,421.10x = 98,693,141,012.02
  5. Step 5: Solve for x
    x = 98,693,141,012.02/489,421.10
  6. Step 6: Final answer
    x = 201,652.81

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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.