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Finding the Fourth Proportional to 703,643.81, 971,031.80 and 381,353.82

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Solution

The fourth proportional to 703,643.81, 971,031.80 and 381,353.82 is: 526,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,643.81 : 971,031.80 = 381,353.82 : x
  2. Step 2: Convert to fraction form
    703,643.81/971,031.80 = 381,353.82/x
  3. Step 3: Cross multiply
    703,643.81x = 971,031.80 × 381,353.82
  4. Step 4: Simplify right side
    703,643.81x = 370,306,684,364.71
  5. Step 5: Solve for x
    x = 370,306,684,364.71/703,643.81
  6. Step 6: Final answer
    x = 526,270.08

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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.