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Finding the Fourth Proportional to 473,430, 653,352.84 and 272,226

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Solution

The fourth proportional to 473,430, 653,352.84 and 272,226 is: 375,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,430 : 653,352.84 = 272,226 : x
  2. Step 2: Convert to fraction form
    473,430/653,352.84 = 272,226/x
  3. Step 3: Cross multiply
    473,430x = 653,352.84 × 272,226
  4. Step 4: Simplify right side
    473,430x = 177,859,630,221.84
  5. Step 5: Solve for x
    x = 177,859,630,221.84/473,430
  6. Step 6: Final answer
    x = 375,683.06

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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.