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Finding the Fourth Proportional to 402,533.34, 555,508.72 and 221,259.29

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Solution

The fourth proportional to 402,533.34, 555,508.72 and 221,259.29 is: 305,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,533.34 : 555,508.72 = 221,259.29 : x
  2. Step 2: Convert to fraction form
    402,533.34/555,508.72 = 221,259.29/x
  3. Step 3: Cross multiply
    402,533.34x = 555,508.72 × 221,259.29
  4. Step 4: Simplify right side
    402,533.34x = 122,911,463,869.71
  5. Step 5: Solve for x
    x = 122,911,463,869.71/402,533.34
  6. Step 6: Final answer
    x = 305,344.80

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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.