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Finding the Fourth Proportional to 420,542.16, 630,167.16 and 285,430.52

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Solution

The fourth proportional to 420,542.16, 630,167.16 and 285,430.52 is: 427,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,542.16 : 630,167.16 = 285,430.52 : x
  2. Step 2: Convert to fraction form
    420,542.16/630,167.16 = 285,430.52/x
  3. Step 3: Cross multiply
    420,542.16x = 630,167.16 × 285,430.52
  4. Step 4: Simplify right side
    420,542.16x = 179,868,937,014.89
  5. Step 5: Solve for x
    x = 179,868,937,014.89/420,542.16
  6. Step 6: Final answer
    x = 427,707.26

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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.