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Finding the Fourth Proportional to 314,218.96, 471,328.44 and 258,698.32

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Solution

The fourth proportional to 314,218.96, 471,328.44 and 258,698.32 is: 388,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,218.96 : 471,328.44 = 258,698.32 : x
  2. Step 2: Convert to fraction form
    314,218.96/471,328.44 = 258,698.32/x
  3. Step 3: Cross multiply
    314,218.96x = 471,328.44 × 258,698.32
  4. Step 4: Simplify right side
    314,218.96x = 121,931,875,596.22
  5. Step 5: Solve for x
    x = 121,931,875,596.22/314,218.96
  6. Step 6: Final answer
    x = 388,047.48

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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.