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Finding the Fourth Proportional to 545,688.94, 752,950.80 and 303,965.50

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Solution

The fourth proportional to 545,688.94, 752,950.80 and 303,965.50 is: 419,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,688.94 : 752,950.80 = 303,965.50 : x
  2. Step 2: Convert to fraction form
    545,688.94/752,950.80 = 303,965.50/x
  3. Step 3: Cross multiply
    545,688.94x = 752,950.80 × 303,965.50
  4. Step 4: Simplify right side
    545,688.94x = 228,871,066,397.40
  5. Step 5: Solve for x
    x = 228,871,066,397.40/545,688.94
  6. Step 6: Final answer
    x = 419,416.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.