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Finding the Fourth Proportional to 514,957.70, 772,494.15 and 159,968.90

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Solution

The fourth proportional to 514,957.70, 772,494.15 and 159,968.90 is: 239,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,957.70 : 772,494.15 = 159,968.90 : x
  2. Step 2: Convert to fraction form
    514,957.70/772,494.15 = 159,968.90/x
  3. Step 3: Cross multiply
    514,957.70x = 772,494.15 × 159,968.90
  4. Step 4: Simplify right side
    514,957.70x = 123,575,039,431.94
  5. Step 5: Solve for x
    x = 123,575,039,431.94/514,957.70
  6. Step 6: Final answer
    x = 239,971.24

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1.5x scale

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.