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Finding the Fourth Proportional to 472,827.20, 709,240.80 and 314,542.40

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Solution

The fourth proportional to 472,827.20, 709,240.80 and 314,542.40 is: 471,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,827.20 : 709,240.80 = 314,542.40 : x
  2. Step 2: Convert to fraction form
    472,827.20/709,240.80 = 314,542.40/x
  3. Step 3: Cross multiply
    472,827.20x = 709,240.80 × 314,542.40
  4. Step 4: Simplify right side
    472,827.20x = 223,086,303,409.92
  5. Step 5: Solve for x
    x = 223,086,303,409.92/472,827.20
  6. Step 6: Final answer
    x = 471,813.60

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Similar ratio
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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.