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Finding the Fourth Proportional to 326,064.90, 489,097.35 and 314,255.10

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Solution

The fourth proportional to 326,064.90, 489,097.35 and 314,255.10 is: 471,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,064.90 : 489,097.35 = 314,255.10 : x
  2. Step 2: Convert to fraction form
    326,064.90/489,097.35 = 314,255.10/x
  3. Step 3: Cross multiply
    326,064.90x = 489,097.35 × 314,255.10
  4. Step 4: Simplify right side
    326,064.90x = 153,701,336,633.99
  5. Step 5: Solve for x
    x = 153,701,336,633.99/326,064.90
  6. Step 6: Final answer
    x = 471,382.65

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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.