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Finding the Fourth Proportional to 421,145.42, 632,013.36 and 243,407.93

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Solution

The fourth proportional to 421,145.42, 632,013.36 and 243,407.93 is: 365,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,145.42 : 632,013.36 = 243,407.93 : x
  2. Step 2: Convert to fraction form
    421,145.42/632,013.36 = 243,407.93/x
  3. Step 3: Cross multiply
    421,145.42x = 632,013.36 × 243,407.93
  4. Step 4: Simplify right side
    421,145.42x = 153,837,060,529.88
  5. Step 5: Solve for x
    x = 153,837,060,529.88/421,145.42
  6. Step 6: Final answer
    x = 365,282.52

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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.