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Finding the Fourth Proportional to 520,214.77, 780,322.16 and 146,237.77

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Solution

The fourth proportional to 520,214.77, 780,322.16 and 146,237.77 is: 219,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,214.77 : 780,322.16 = 146,237.77 : x
  2. Step 2: Convert to fraction form
    520,214.77/780,322.16 = 146,237.77/x
  3. Step 3: Cross multiply
    520,214.77x = 780,322.16 × 146,237.77
  4. Step 4: Simplify right side
    520,214.77x = 114,112,572,559.98
  5. Step 5: Solve for x
    x = 114,112,572,559.98/520,214.77
  6. Step 6: Final answer
    x = 219,356.66

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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.