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Finding the Fourth Proportional to 459,444.96, 689,167.44 and 209,952

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Solution

The fourth proportional to 459,444.96, 689,167.44 and 209,952 is: 314,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,444.96 : 689,167.44 = 209,952 : x
  2. Step 2: Convert to fraction form
    459,444.96/689,167.44 = 209,952/x
  3. Step 3: Cross multiply
    459,444.96x = 689,167.44 × 209,952
  4. Step 4: Simplify right side
    459,444.96x = 144,692,082,362.88
  5. Step 5: Solve for x
    x = 144,692,082,362.88/459,444.96
  6. Step 6: Final answer
    x = 314,928.00

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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.