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Finding the Fourth Proportional to 421,955.61, 632,931.53 and 172,637.61

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Solution

The fourth proportional to 421,955.61, 632,931.53 and 172,637.61 is: 258,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,955.61 : 632,931.53 = 172,637.61 : x
  2. Step 2: Convert to fraction form
    421,955.61/632,931.53 = 172,637.61/x
  3. Step 3: Cross multiply
    421,955.61x = 632,931.53 × 172,637.61
  4. Step 4: Simplify right side
    421,955.61x = 109,267,785,769.66
  5. Step 5: Solve for x
    x = 109,267,785,769.66/421,955.61
  6. Step 6: Final answer
    x = 258,955.64

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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.