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Finding the Fourth Proportional to 257,590.66, 384,509.74 and 238,595.70

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Solution

The fourth proportional to 257,590.66, 384,509.74 and 238,595.70 is: 356,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,590.66 : 384,509.74 = 238,595.70 : x
  2. Step 2: Convert to fraction form
    257,590.66/384,509.74 = 238,595.70/x
  3. Step 3: Cross multiply
    257,590.66x = 384,509.74 × 238,595.70
  4. Step 4: Simplify right side
    257,590.66x = 91,742,370,572.12
  5. Step 5: Solve for x
    x = 91,742,370,572.12/257,590.66
  6. Step 6: Final answer
    x = 356,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.