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Finding the Fourth Proportional to 459,301.12, 688,817.76 and 178,751.68

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Solution

The fourth proportional to 459,301.12, 688,817.76 and 178,751.68 is: 268,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,301.12 : 688,817.76 = 178,751.68 : x
  2. Step 2: Convert to fraction form
    459,301.12/688,817.76 = 178,751.68/x
  3. Step 3: Cross multiply
    459,301.12x = 688,817.76 × 178,751.68
  4. Step 4: Simplify right side
    459,301.12x = 123,127,331,813.84
  5. Step 5: Solve for x
    x = 123,127,331,813.84/459,301.12
  6. Step 6: Final answer
    x = 268,075.40

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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.