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Finding the Fourth Proportional to 511,666.02, 767,500.90 and 156,678.60

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Solution

The fourth proportional to 511,666.02, 767,500.90 and 156,678.60 is: 235,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,666.02 : 767,500.90 = 156,678.60 : x
  2. Step 2: Convert to fraction form
    511,666.02/767,500.90 = 156,678.60/x
  3. Step 3: Cross multiply
    511,666.02x = 767,500.90 × 156,678.60
  4. Step 4: Simplify right side
    511,666.02x = 120,250,966,510.74
  5. Step 5: Solve for x
    x = 120,250,966,510.74/511,666.02
  6. Step 6: Final answer
    x = 235,018.47

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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.