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Finding the Fourth Proportional to 402,495.16, 555,456.64 and 221,213.52

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Solution

The fourth proportional to 402,495.16, 555,456.64 and 221,213.52 is: 305,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,495.16 : 555,456.64 = 221,213.52 : x
  2. Step 2: Convert to fraction form
    402,495.16/555,456.64 = 221,213.52/x
  3. Step 3: Cross multiply
    402,495.16x = 555,456.64 × 221,213.52
  4. Step 4: Simplify right side
    402,495.16x = 122,874,518,541.77
  5. Step 5: Solve for x
    x = 122,874,518,541.77/402,495.16
  6. Step 6: Final answer
    x = 305,281.98

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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.