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Finding the Fourth Proportional to 326,031.40, 489,047.10 and 314,221.60

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Solution

The fourth proportional to 326,031.40, 489,047.10 and 314,221.60 is: 471,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,031.40 : 489,047.10 = 314,221.60 : x
  2. Step 2: Convert to fraction form
    326,031.40/489,047.10 = 314,221.60/x
  3. Step 3: Cross multiply
    326,031.40x = 489,047.10 × 314,221.60
  4. Step 4: Simplify right side
    326,031.40x = 153,669,162,237.36
  5. Step 5: Solve for x
    x = 153,669,162,237.36/326,031.40
  6. Step 6: Final answer
    x = 471,332.40

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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.