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Finding the Fourth Proportional to 472,313.20, 709,852.20 and 411,487.60

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Solution

The fourth proportional to 472,313.20, 709,852.20 and 411,487.60 is: 618,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,313.20 : 709,852.20 = 411,487.60 : x
  2. Step 2: Convert to fraction form
    472,313.20/709,852.20 = 411,487.60/x
  3. Step 3: Cross multiply
    472,313.20x = 709,852.20 × 411,487.60
  4. Step 4: Simplify right side
    472,313.20x = 292,095,378,132.72
  5. Step 5: Solve for x
    x = 292,095,378,132.72/472,313.20
  6. Step 6: Final answer
    x = 618,435.77

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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.