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Finding the Fourth Proportional to 317,312.43, 475,962.50 and 77,427.89

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Solution

The fourth proportional to 317,312.43, 475,962.50 and 77,427.89 is: 116,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,312.43 : 475,962.50 = 77,427.89 : x
  2. Step 2: Convert to fraction form
    317,312.43/475,962.50 = 77,427.89/x
  3. Step 3: Cross multiply
    317,312.43x = 475,962.50 × 77,427.89
  4. Step 4: Simplify right side
    317,312.43x = 36,852,771,257.21
  5. Step 5: Solve for x
    x = 36,852,771,257.21/317,312.43
  6. Step 6: Final answer
    x = 116,140.33

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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.