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Finding the Fourth Proportional to 559,870.24, 772,621.20 and 305,216.16

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Solution

The fourth proportional to 559,870.24, 772,621.20 and 305,216.16 is: 421,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,870.24 : 772,621.20 = 305,216.16 : x
  2. Step 2: Convert to fraction form
    559,870.24/772,621.20 = 305,216.16/x
  3. Step 3: Cross multiply
    559,870.24x = 772,621.20 × 305,216.16
  4. Step 4: Simplify right side
    559,870.24x = 235,816,475,798.59
  5. Step 5: Solve for x
    x = 235,816,475,798.59/559,870.24
  6. Step 6: Final answer
    x = 421,198.45

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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.