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Finding the Fourth Proportional to 535,409.08, 738,864.50 and 309,054.58

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Solution

The fourth proportional to 535,409.08, 738,864.50 and 309,054.58 is: 426,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,409.08 : 738,864.50 = 309,054.58 : x
  2. Step 2: Convert to fraction form
    535,409.08/738,864.50 = 309,054.58/x
  3. Step 3: Cross multiply
    535,409.08x = 738,864.50 × 309,054.58
  4. Step 4: Simplify right side
    535,409.08x = 228,349,457,724.41
  5. Step 5: Solve for x
    x = 228,349,457,724.41/535,409.08
  6. Step 6: Final answer
    x = 426,495.30

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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.