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Finding the Fourth Proportional to 687,443.36, 948,459.24 and 400,760.48

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Solution

The fourth proportional to 687,443.36, 948,459.24 and 400,760.48 is: 552,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,443.36 : 948,459.24 = 400,760.48 : x
  2. Step 2: Convert to fraction form
    687,443.36/948,459.24 = 400,760.48/x
  3. Step 3: Cross multiply
    687,443.36x = 948,459.24 × 400,760.48
  4. Step 4: Simplify right side
    687,443.36x = 380,104,980,282.84
  5. Step 5: Solve for x
    x = 380,104,980,282.84/687,443.36
  6. Step 6: Final answer
    x = 552,925.52

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1.5x scale

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.