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Finding the Fourth Proportional to 703,772.64, 971,336.16 and 401,966.40

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Solution

The fourth proportional to 703,772.64, 971,336.16 and 401,966.40 is: 554,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,772.64 : 971,336.16 = 401,966.40 : x
  2. Step 2: Convert to fraction form
    703,772.64/971,336.16 = 401,966.40/x
  3. Step 3: Cross multiply
    703,772.64x = 971,336.16 × 401,966.40
  4. Step 4: Simplify right side
    703,772.64x = 390,444,499,425.02
  5. Step 5: Solve for x
    x = 390,444,499,425.02/703,772.64
  6. Step 6: Final answer
    x = 554,787.84

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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.