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Finding the Fourth Proportional to 511,448.81, 767,050.02 and 156,465.90

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Solution

The fourth proportional to 511,448.81, 767,050.02 and 156,465.90 is: 234,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,448.81 : 767,050.02 = 156,465.90 : x
  2. Step 2: Convert to fraction form
    511,448.81/767,050.02 = 156,465.90/x
  3. Step 3: Cross multiply
    511,448.81x = 767,050.02 × 156,465.90
  4. Step 4: Simplify right side
    511,448.81x = 120,017,171,724.32
  5. Step 5: Solve for x
    x = 120,017,171,724.32/511,448.81
  6. Step 6: Final answer
    x = 234,661.16

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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.