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Finding the Fourth Proportional to 516,460.21, 774,734.96 and 142,483.21

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Solution

The fourth proportional to 516,460.21, 774,734.96 and 142,483.21 is: 213,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,460.21 : 774,734.96 = 142,483.21 : x
  2. Step 2: Convert to fraction form
    516,460.21/774,734.96 = 142,483.21/x
  3. Step 3: Cross multiply
    516,460.21x = 774,734.96 × 142,483.21
  4. Step 4: Simplify right side
    516,460.21x = 110,386,724,000.02
  5. Step 5: Solve for x
    x = 110,386,724,000.02/516,460.21
  6. Step 6: Final answer
    x = 213,737.13

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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.