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Finding the Fourth Proportional to 553,713.96, 830,674.41 and 381,332.68

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Solution

The fourth proportional to 553,713.96, 830,674.41 and 381,332.68 is: 572,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,713.96 : 830,674.41 = 381,332.68 : x
  2. Step 2: Convert to fraction form
    553,713.96/830,674.41 = 381,332.68/x
  3. Step 3: Cross multiply
    553,713.96x = 830,674.41 × 381,332.68
  4. Step 4: Simplify right side
    553,713.96x = 316,763,298,972.72
  5. Step 5: Solve for x
    x = 316,763,298,972.72/553,713.96
  6. Step 6: Final answer
    x = 572,070.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.