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Finding the Fourth Proportional to 421,055.52, 581,056.02 and 239,767.50

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Solution

The fourth proportional to 421,055.52, 581,056.02 and 239,767.50 is: 330,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,055.52 : 581,056.02 = 239,767.50 : x
  2. Step 2: Convert to fraction form
    421,055.52/581,056.02 = 239,767.50/x
  3. Step 3: Cross multiply
    421,055.52x = 581,056.02 × 239,767.50
  4. Step 4: Simplify right side
    421,055.52x = 139,318,349,275.35
  5. Step 5: Solve for x
    x = 139,318,349,275.35/421,055.52
  6. Step 6: Final answer
    x = 330,878.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.