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Finding the Fourth Proportional to 517,964, 776,946.24 and 143,990.24

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Solution

The fourth proportional to 517,964, 776,946.24 and 143,990.24 is: 215,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,964 : 776,946.24 = 143,990.24 : x
  2. Step 2: Convert to fraction form
    517,964/776,946.24 = 143,990.24/x
  3. Step 3: Cross multiply
    517,964x = 776,946.24 × 143,990.24
  4. Step 4: Simplify right side
    517,964x = 111,872,675,564.70
  5. Step 5: Solve for x
    x = 111,872,675,564.70/517,964
  6. Step 6: Final answer
    x = 215,985.43

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Similar ratio
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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.