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Finding the Fourth Proportional to 423,184.77, 634,886.51 and 157,021.20

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Solution

The fourth proportional to 423,184.77, 634,886.51 and 157,021.20 is: 235,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,184.77 : 634,886.51 = 157,021.20 : x
  2. Step 2: Convert to fraction form
    423,184.77/634,886.51 = 157,021.20/x
  3. Step 3: Cross multiply
    423,184.77x = 634,886.51 × 157,021.20
  4. Step 4: Simplify right side
    423,184.77x = 99,690,640,878.91
  5. Step 5: Solve for x
    x = 99,690,640,878.91/423,184.77
  6. Step 6: Final answer
    x = 235,572.37

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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.