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Finding the Fourth Proportional to 338,888.93, 507,655.25 and 203,878.16

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Solution

The fourth proportional to 338,888.93, 507,655.25 and 203,878.16 is: 305,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,888.93 : 507,655.25 = 203,878.16 : x
  2. Step 2: Convert to fraction form
    338,888.93/507,655.25 = 203,878.16/x
  3. Step 3: Cross multiply
    338,888.93x = 507,655.25 × 203,878.16
  4. Step 4: Simplify right side
    338,888.93x = 103,499,817,037.98
  5. Step 5: Solve for x
    x = 103,499,817,037.98/338,888.93
  6. Step 6: Final answer
    x = 305,409.26

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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.