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Finding the Fourth Proportional to 503,804.51, 755,948.69 and 314,216.20

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Solution

The fourth proportional to 503,804.51, 755,948.69 and 314,216.20 is: 471,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,804.51 : 755,948.69 = 314,216.20 : x
  2. Step 2: Convert to fraction form
    503,804.51/755,948.69 = 314,216.20/x
  3. Step 3: Cross multiply
    503,804.51x = 755,948.69 × 314,216.20
  4. Step 4: Simplify right side
    503,804.51x = 237,531,322,484.14
  5. Step 5: Solve for x
    x = 237,531,322,484.14/503,804.51
  6. Step 6: Final answer
    x = 471,475.19

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1.5x scale

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.