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Finding the Fourth Proportional to 686,952, 947,993.76 and 400,484.16

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Solution

The fourth proportional to 686,952, 947,993.76 and 400,484.16 is: 552,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,952 : 947,993.76 = 400,484.16 : x
  2. Step 2: Convert to fraction form
    686,952/947,993.76 = 400,484.16/x
  3. Step 3: Cross multiply
    686,952x = 947,993.76 × 400,484.16
  4. Step 4: Simplify right side
    686,952x = 379,656,484,658.84
  5. Step 5: Solve for x
    x = 379,656,484,658.84/686,952
  6. Step 6: Final answer
    x = 552,668.14

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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.