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Finding the Fourth Proportional to 548,705.40, 824,807.70 and 517,212.60

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Solution

The fourth proportional to 548,705.40, 824,807.70 and 517,212.60 is: 777,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,705.40 : 824,807.70 = 517,212.60 : x
  2. Step 2: Convert to fraction form
    548,705.40/824,807.70 = 517,212.60/x
  3. Step 3: Cross multiply
    548,705.40x = 824,807.70 × 517,212.60
  4. Step 4: Simplify right side
    548,705.40x = 426,600,935,017.02
  5. Step 5: Solve for x
    x = 426,600,935,017.02/548,705.40
  6. Step 6: Final answer
    x = 777,468.08

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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.