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Finding the Fourth Proportional to 459,271.80, 688,907.70 and 209,953.80

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Solution

The fourth proportional to 459,271.80, 688,907.70 and 209,953.80 is: 314,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,271.80 : 688,907.70 = 209,953.80 : x
  2. Step 2: Convert to fraction form
    459,271.80/688,907.70 = 209,953.80/x
  3. Step 3: Cross multiply
    459,271.80x = 688,907.70 × 209,953.80
  4. Step 4: Simplify right side
    459,271.80x = 144,638,789,464.26
  5. Step 5: Solve for x
    x = 144,638,789,464.26/459,271.80
  6. Step 6: Final answer
    x = 314,930.70

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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.