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Finding the Fourth Proportional to 282,409.40, 423,614.10 and 170,216.30

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Solution

The fourth proportional to 282,409.40, 423,614.10 and 170,216.30 is: 255,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,409.40 : 423,614.10 = 170,216.30 : x
  2. Step 2: Convert to fraction form
    282,409.40/423,614.10 = 170,216.30/x
  3. Step 3: Cross multiply
    282,409.40x = 423,614.10 × 170,216.30
  4. Step 4: Simplify right side
    282,409.40x = 72,106,024,729.83
  5. Step 5: Solve for x
    x = 72,106,024,729.83/282,409.40
  6. Step 6: Final answer
    x = 255,324.45

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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.