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Finding the Fourth Proportional to 472,975.81, 652,720.48 and 258,129.72

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Solution

The fourth proportional to 472,975.81, 652,720.48 and 258,129.72 is: 356,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,975.81 : 652,720.48 = 258,129.72 : x
  2. Step 2: Convert to fraction form
    472,975.81/652,720.48 = 258,129.72/x
  3. Step 3: Cross multiply
    472,975.81x = 652,720.48 × 258,129.72
  4. Step 4: Simplify right side
    472,975.81x = 168,486,554,095.34
  5. Step 5: Solve for x
    x = 168,486,554,095.34/472,975.81
  6. Step 6: Final answer
    x = 356,226.58

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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.