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Finding the Fourth Proportional to 408,875.80, 613,313.70 and 282,904.60

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Solution

The fourth proportional to 408,875.80, 613,313.70 and 282,904.60 is: 424,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,875.80 : 613,313.70 = 282,904.60 : x
  2. Step 2: Convert to fraction form
    408,875.80/613,313.70 = 282,904.60/x
  3. Step 3: Cross multiply
    408,875.80x = 613,313.70 × 282,904.60
  4. Step 4: Simplify right side
    408,875.80x = 173,509,266,973.02
  5. Step 5: Solve for x
    x = 173,509,266,973.02/408,875.80
  6. Step 6: Final answer
    x = 424,356.90

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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.