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Finding the Fourth Proportional to 354,506.36, 489,206.76 and 211,192.16

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Solution

The fourth proportional to 354,506.36, 489,206.76 and 211,192.16 is: 291,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,506.36 : 489,206.76 = 211,192.16 : x
  2. Step 2: Convert to fraction form
    354,506.36/489,206.76 = 211,192.16/x
  3. Step 3: Cross multiply
    354,506.36x = 489,206.76 × 211,192.16
  4. Step 4: Simplify right side
    354,506.36x = 103,316,632,331.00
  5. Step 5: Solve for x
    x = 103,316,632,331.00/354,506.36
  6. Step 6: Final answer
    x = 291,438.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.