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Finding the Fourth Proportional to 389,637.80, 584,456.70 and 310,905.80

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Solution

The fourth proportional to 389,637.80, 584,456.70 and 310,905.80 is: 466,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,637.80 : 584,456.70 = 310,905.80 : x
  2. Step 2: Convert to fraction form
    389,637.80/584,456.70 = 310,905.80/x
  3. Step 3: Cross multiply
    389,637.80x = 584,456.70 × 310,905.80
  4. Step 4: Simplify right side
    389,637.80x = 181,710,977,878.86
  5. Step 5: Solve for x
    x = 181,710,977,878.86/389,637.80
  6. Step 6: Final answer
    x = 466,358.70

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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.