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Finding the Fourth Proportional to 420,327.88, 630,313.26 and 153,977.80

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Solution

The fourth proportional to 420,327.88, 630,313.26 and 153,977.80 is: 230,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,327.88 : 630,313.26 = 153,977.80 : x
  2. Step 2: Convert to fraction form
    420,327.88/630,313.26 = 153,977.80/x
  3. Step 3: Cross multiply
    420,327.88x = 630,313.26 × 153,977.80
  4. Step 4: Simplify right side
    420,327.88x = 97,054,249,085.63
  5. Step 5: Solve for x
    x = 97,054,249,085.63/420,327.88
  6. Step 6: Final answer
    x = 230,901.29

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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.