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Finding the Fourth Proportional to 423,181.77, 634,882.01 and 157,018.20

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Solution

The fourth proportional to 423,181.77, 634,882.01 and 157,018.20 is: 235,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,181.77 : 634,882.01 = 157,018.20 : x
  2. Step 2: Convert to fraction form
    423,181.77/634,882.01 = 157,018.20/x
  3. Step 3: Cross multiply
    423,181.77x = 634,882.01 × 157,018.20
  4. Step 4: Simplify right side
    423,181.77x = 99,688,029,637.49
  5. Step 5: Solve for x
    x = 99,688,029,637.49/423,181.77
  6. Step 6: Final answer
    x = 235,567.87

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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.