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Finding the Fourth Proportional to 288,494.78, 432,355.36 and 224,530.18

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Solution

The fourth proportional to 288,494.78, 432,355.36 and 224,530.18 is: 336,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,494.78 : 432,355.36 = 224,530.18 : x
  2. Step 2: Convert to fraction form
    288,494.78/432,355.36 = 224,530.18/x
  3. Step 3: Cross multiply
    288,494.78x = 432,355.36 × 224,530.18
  4. Step 4: Simplify right side
    288,494.78x = 97,076,826,804.76
  5. Step 5: Solve for x
    x = 97,076,826,804.76/288,494.78
  6. Step 6: Final answer
    x = 336,494.22

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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.