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Finding the Fourth Proportional to 511,345.16, 767,017.80 and 156,359.19

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Solution

The fourth proportional to 511,345.16, 767,017.80 and 156,359.19 is: 234,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,345.16 : 767,017.80 = 156,359.19 : x
  2. Step 2: Convert to fraction form
    511,345.16/767,017.80 = 156,359.19/x
  3. Step 3: Cross multiply
    511,345.16x = 767,017.80 × 156,359.19
  4. Step 4: Simplify right side
    511,345.16x = 119,930,281,923.58
  5. Step 5: Solve for x
    x = 119,930,281,923.58/511,345.16
  6. Step 6: Final answer
    x = 234,538.80

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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.