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Finding the Fourth Proportional to 316,153.20, 474,478.80 and 138,782.64

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Solution

The fourth proportional to 316,153.20, 474,478.80 and 138,782.64 is: 208,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,153.20 : 474,478.80 = 138,782.64 : x
  2. Step 2: Convert to fraction form
    316,153.20/474,478.80 = 138,782.64/x
  3. Step 3: Cross multiply
    316,153.20x = 474,478.80 × 138,782.64
  4. Step 4: Simplify right side
    316,153.20x = 65,849,420,488.03
  5. Step 5: Solve for x
    x = 65,849,420,488.03/316,153.20
  6. Step 6: Final answer
    x = 208,283.26

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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.