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Finding the Fourth Proportional to 1,456,704, 2,185,444.80 and 459,432

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Solution

The fourth proportional to 1,456,704, 2,185,444.80 and 459,432 is: 689,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,704 : 2,185,444.80 = 459,432 : x
  2. Step 2: Convert to fraction form
    1,456,704/2,185,444.80 = 459,432/x
  3. Step 3: Cross multiply
    1,456,704x = 2,185,444.80 × 459,432
  4. Step 4: Simplify right side
    1,456,704x = 1,004,063,275,353.60
  5. Step 5: Solve for x
    x = 1,004,063,275,353.60/1,456,704
  6. Step 6: Final answer
    x = 689,270.62

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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.