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Finding the Fourth Proportional to 500,178.84, 750,041.34 and 215,734.98

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Solution

The fourth proportional to 500,178.84, 750,041.34 and 215,734.98 is: 323,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,178.84 : 750,041.34 = 215,734.98 : x
  2. Step 2: Convert to fraction form
    500,178.84/750,041.34 = 215,734.98/x
  3. Step 3: Cross multiply
    500,178.84x = 750,041.34 × 215,734.98
  4. Step 4: Simplify right side
    500,178.84x = 161,810,153,484.07
  5. Step 5: Solve for x
    x = 161,810,153,484.07/500,178.84
  6. Step 6: Final answer
    x = 323,504.60

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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.