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Finding the Fourth Proportional to 511,411.36, 767,043.08 and 156,330.04

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Solution

The fourth proportional to 511,411.36, 767,043.08 and 156,330.04 is: 234,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411.36 : 767,043.08 = 156,330.04 : x
  2. Step 2: Convert to fraction form
    511,411.36/767,043.08 = 156,330.04/x
  3. Step 3: Cross multiply
    511,411.36x = 767,043.08 × 156,330.04
  4. Step 4: Simplify right side
    511,411.36x = 119,911,875,378.12
  5. Step 5: Solve for x
    x = 119,911,875,378.12/511,411.36
  6. Step 6: Final answer
    x = 234,472.45

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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.