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Finding the Fourth Proportional to 459,461.46, 689,192.19 and 209,968.50

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Solution

The fourth proportional to 459,461.46, 689,192.19 and 209,968.50 is: 314,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,461.46 : 689,192.19 = 209,968.50 : x
  2. Step 2: Convert to fraction form
    459,461.46/689,192.19 = 209,968.50/x
  3. Step 3: Cross multiply
    459,461.46x = 689,192.19 × 209,968.50
  4. Step 4: Simplify right side
    459,461.46x = 144,708,650,346.02
  5. Step 5: Solve for x
    x = 144,708,650,346.02/459,461.46
  6. Step 6: Final answer
    x = 314,952.75

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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.