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Finding the Fourth Proportional to 282,605.40, 423,908.10 and 170,412.30

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Solution

The fourth proportional to 282,605.40, 423,908.10 and 170,412.30 is: 255,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,605.40 : 423,908.10 = 170,412.30 : x
  2. Step 2: Convert to fraction form
    282,605.40/423,908.10 = 170,412.30/x
  3. Step 3: Cross multiply
    282,605.40x = 423,908.10 × 170,412.30
  4. Step 4: Simplify right side
    282,605.40x = 72,239,154,309.63
  5. Step 5: Solve for x
    x = 72,239,154,309.63/282,605.40
  6. Step 6: Final answer
    x = 255,618.45

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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.