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Finding the Fourth Proportional to 259,359.60, 357,947.04 and 144,657

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Solution

The fourth proportional to 259,359.60, 357,947.04 and 144,657 is: 199,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,359.60 : 357,947.04 = 144,657 : x
  2. Step 2: Convert to fraction form
    259,359.60/357,947.04 = 144,657/x
  3. Step 3: Cross multiply
    259,359.60x = 357,947.04 × 144,657
  4. Step 4: Simplify right side
    259,359.60x = 51,779,544,965.28
  5. Step 5: Solve for x
    x = 51,779,544,965.28/259,359.60
  6. Step 6: Final answer
    x = 199,643.83

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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.