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Finding the Fourth Proportional to 586,300.80, 878,846.40 and 319,497.60

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Solution

The fourth proportional to 586,300.80, 878,846.40 and 319,497.60 is: 478,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,300.80 : 878,846.40 = 319,497.60 : x
  2. Step 2: Convert to fraction form
    586,300.80/878,846.40 = 319,497.60/x
  3. Step 3: Cross multiply
    586,300.80x = 878,846.40 × 319,497.60
  4. Step 4: Simplify right side
    586,300.80x = 280,789,315,568.64
  5. Step 5: Solve for x
    x = 280,789,315,568.64/586,300.80
  6. Step 6: Final answer
    x = 478,916.82

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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.