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Finding the Fourth Proportional to 520,041.90, 780,322.05 and 295,574.70

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Solution

The fourth proportional to 520,041.90, 780,322.05 and 295,574.70 is: 443,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,041.90 : 780,322.05 = 295,574.70 : x
  2. Step 2: Convert to fraction form
    520,041.90/780,322.05 = 295,574.70/x
  3. Step 3: Cross multiply
    520,041.90x = 780,322.05 × 295,574.70
  4. Step 4: Simplify right side
    520,041.90x = 230,643,455,832.14
  5. Step 5: Solve for x
    x = 230,643,455,832.14/520,041.90
  6. Step 6: Final answer
    x = 443,509.37

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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.