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Finding the Fourth Proportional to 470,322.55, 649,046.32 and 255,458.00

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Solution

The fourth proportional to 470,322.55, 649,046.32 and 255,458.00 is: 352,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,322.55 : 649,046.32 = 255,458.00 : x
  2. Step 2: Convert to fraction form
    470,322.55/649,046.32 = 255,458.00/x
  3. Step 3: Cross multiply
    470,322.55x = 649,046.32 × 255,458.00
  4. Step 4: Simplify right side
    470,322.55x = 165,804,075,798.53
  5. Step 5: Solve for x
    x = 165,804,075,798.53/470,322.55
  6. Step 6: Final answer
    x = 352,532.69

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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.