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Finding the Fourth Proportional to 257,565.96, 386,307.48 and 70,533.72

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Solution

The fourth proportional to 257,565.96, 386,307.48 and 70,533.72 is: 105,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,565.96 : 386,307.48 = 70,533.72 : x
  2. Step 2: Convert to fraction form
    257,565.96/386,307.48 = 70,533.72/x
  3. Step 3: Cross multiply
    257,565.96x = 386,307.48 × 70,533.72
  4. Step 4: Simplify right side
    257,565.96x = 27,247,703,628.23
  5. Step 5: Solve for x
    x = 27,247,703,628.23/257,565.96
  6. Step 6: Final answer
    x = 105,789.23

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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.