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Finding the Fourth Proportional to 228,420.69, 314,657.10 and 194,319.90

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Solution

The fourth proportional to 228,420.69, 314,657.10 and 194,319.90 is: 267,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,420.69 : 314,657.10 = 194,319.90 : x
  2. Step 2: Convert to fraction form
    228,420.69/314,657.10 = 194,319.90/x
  3. Step 3: Cross multiply
    228,420.69x = 314,657.10 × 194,319.90
  4. Step 4: Simplify right side
    228,420.69x = 61,144,136,206.29
  5. Step 5: Solve for x
    x = 61,144,136,206.29/228,420.69
  6. Step 6: Final answer
    x = 267,682.13

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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.