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Finding the Fourth Proportional to 686,952.50, 947,994.45 and 400,484.66

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Solution

The fourth proportional to 686,952.50, 947,994.45 and 400,484.66 is: 552,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,952.50 : 947,994.45 = 400,484.66 : x
  2. Step 2: Convert to fraction form
    686,952.50/947,994.45 = 400,484.66/x
  3. Step 3: Cross multiply
    686,952.50x = 947,994.45 × 400,484.66
  4. Step 4: Simplify right side
    686,952.50x = 379,657,234,990.14
  5. Step 5: Solve for x
    x = 379,657,234,990.14/686,952.50
  6. Step 6: Final answer
    x = 552,668.83

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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.