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Finding the Fourth Proportional to 442,259.13, 610,319.40 and 251,283

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Solution

The fourth proportional to 442,259.13, 610,319.40 and 251,283 is: 346,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,259.13 : 610,319.40 = 251,283 : x
  2. Step 2: Convert to fraction form
    442,259.13/610,319.40 = 251,283/x
  3. Step 3: Cross multiply
    442,259.13x = 610,319.40 × 251,283
  4. Step 4: Simplify right side
    442,259.13x = 153,362,889,790.20
  5. Step 5: Solve for x
    x = 153,362,889,790.20/442,259.13
  6. Step 6: Final answer
    x = 346,771.56

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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.