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Finding the Fourth Proportional to 421,423.96, 632,119.08 and 232,259.32

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Solution

The fourth proportional to 421,423.96, 632,119.08 and 232,259.32 is: 348,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,423.96 : 632,119.08 = 232,259.32 : x
  2. Step 2: Convert to fraction form
    421,423.96/632,119.08 = 232,259.32/x
  3. Step 3: Cross multiply
    421,423.96x = 632,119.08 × 232,259.32
  4. Step 4: Simplify right side
    421,423.96x = 146,815,547,679.83
  5. Step 5: Solve for x
    x = 146,815,547,679.83/421,423.96
  6. Step 6: Final answer
    x = 348,379.69

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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.