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Finding the Fourth Proportional to 647,893.80, 971,840.70 and 310,877.10

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Solution

The fourth proportional to 647,893.80, 971,840.70 and 310,877.10 is: 466,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,893.80 : 971,840.70 = 310,877.10 : x
  2. Step 2: Convert to fraction form
    647,893.80/971,840.70 = 310,877.10/x
  3. Step 3: Cross multiply
    647,893.80x = 971,840.70 × 310,877.10
  4. Step 4: Simplify right side
    647,893.80x = 302,123,018,477.97
  5. Step 5: Solve for x
    x = 302,123,018,477.97/647,893.80
  6. Step 6: Final answer
    x = 466,315.65

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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.