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Finding the Fourth Proportional to 459,009.50, 633,492.51 and 257,805.50

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Solution

The fourth proportional to 459,009.50, 633,492.51 and 257,805.50 is: 355,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,009.50 : 633,492.51 = 257,805.50 : x
  2. Step 2: Convert to fraction form
    459,009.50/633,492.51 = 257,805.50/x
  3. Step 3: Cross multiply
    459,009.50x = 633,492.51 × 257,805.50
  4. Step 4: Simplify right side
    459,009.50x = 163,317,853,286.81
  5. Step 5: Solve for x
    x = 163,317,853,286.81/459,009.50
  6. Step 6: Final answer
    x = 355,804.95

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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.