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Finding the Fourth Proportional to 459,051.30, 643,196.70 and 459,051.30

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Solution

The fourth proportional to 459,051.30, 643,196.70 and 459,051.30 is: 643,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051.30 : 643,196.70 = 459,051.30 : x
  2. Step 2: Convert to fraction form
    459,051.30/643,196.70 = 459,051.30/x
  3. Step 3: Cross multiply
    459,051.30x = 643,196.70 × 459,051.30
  4. Step 4: Simplify right side
    459,051.30x = 295,260,281,290.71
  5. Step 5: Solve for x
    x = 295,260,281,290.71/459,051.30
  6. Step 6: Final answer
    x = 643,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.