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Finding the Fourth Proportional to 314,217.96, 471,326.94 and 258,697.32

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Solution

The fourth proportional to 314,217.96, 471,326.94 and 258,697.32 is: 388,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,217.96 : 471,326.94 = 258,697.32 : x
  2. Step 2: Convert to fraction form
    314,217.96/471,326.94 = 258,697.32/x
  3. Step 3: Cross multiply
    314,217.96x = 471,326.94 × 258,697.32
  4. Step 4: Simplify right side
    314,217.96x = 121,931,016,221.80
  5. Step 5: Solve for x
    x = 121,931,016,221.80/314,217.96
  6. Step 6: Final answer
    x = 388,045.98

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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.