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Finding the Fourth Proportional to 257,848.80, 355,758.32 and 167,208.40

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Solution

The fourth proportional to 257,848.80, 355,758.32 and 167,208.40 is: 230,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,848.80 : 355,758.32 = 167,208.40 : x
  2. Step 2: Convert to fraction form
    257,848.80/355,758.32 = 167,208.40/x
  3. Step 3: Cross multiply
    257,848.80x = 355,758.32 × 167,208.40
  4. Step 4: Simplify right side
    257,848.80x = 59,485,779,473.89
  5. Step 5: Solve for x
    x = 59,485,779,473.89/257,848.80
  6. Step 6: Final answer
    x = 230,700.24

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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.