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Finding the Fourth Proportional to 647,904.30, 971,856.45 and 310,887.60

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Solution

The fourth proportional to 647,904.30, 971,856.45 and 310,887.60 is: 466,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,904.30 : 971,856.45 = 310,887.60 : x
  2. Step 2: Convert to fraction form
    647,904.30/971,856.45 = 310,887.60/x
  3. Step 3: Cross multiply
    647,904.30x = 971,856.45 × 310,887.60
  4. Step 4: Simplify right side
    647,904.30x = 302,138,119,285.02
  5. Step 5: Solve for x
    x = 302,138,119,285.02/647,904.30
  6. Step 6: Final answer
    x = 466,331.40

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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.