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Finding the Fourth Proportional to 402,647.90, 555,642.27 and 230,560.16

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Solution

The fourth proportional to 402,647.90, 555,642.27 and 230,560.16 is: 318,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,647.90 : 555,642.27 = 230,560.16 : x
  2. Step 2: Convert to fraction form
    402,647.90/555,642.27 = 230,560.16/x
  3. Step 3: Cross multiply
    402,647.90x = 555,642.27 × 230,560.16
  4. Step 4: Simplify right side
    402,647.90x = 128,108,967,895.75
  5. Step 5: Solve for x
    x = 128,108,967,895.75/402,647.90
  6. Step 6: Final answer
    x = 318,166.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.