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Finding the Fourth Proportional to 389,265.80, 583,898.70 and 310,533.80

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Solution

The fourth proportional to 389,265.80, 583,898.70 and 310,533.80 is: 465,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,265.80 : 583,898.70 = 310,533.80 : x
  2. Step 2: Convert to fraction form
    389,265.80/583,898.70 = 310,533.80/x
  3. Step 3: Cross multiply
    389,265.80x = 583,898.70 × 310,533.80
  4. Step 4: Simplify right side
    389,265.80x = 181,320,282,126.06
  5. Step 5: Solve for x
    x = 181,320,282,126.06/389,265.80
  6. Step 6: Final answer
    x = 465,800.70

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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.