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Finding the Fourth Proportional to 257,437.44, 386,140.77 and 152,921.52

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Solution

The fourth proportional to 257,437.44, 386,140.77 and 152,921.52 is: 229,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,437.44 : 386,140.77 = 152,921.52 : x
  2. Step 2: Convert to fraction form
    257,437.44/386,140.77 = 152,921.52/x
  3. Step 3: Cross multiply
    257,437.44x = 386,140.77 × 152,921.52
  4. Step 4: Simplify right side
    257,437.44x = 59,049,233,482.37
  5. Step 5: Solve for x
    x = 59,049,233,482.37/257,437.44
  6. Step 6: Final answer
    x = 229,373.14

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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.