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Finding the Fourth Proportional to 389,108.80, 583,663.20 and 310,376.80

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Solution

The fourth proportional to 389,108.80, 583,663.20 and 310,376.80 is: 465,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,108.80 : 583,663.20 = 310,376.80 : x
  2. Step 2: Convert to fraction form
    389,108.80/583,663.20 = 310,376.80/x
  3. Step 3: Cross multiply
    389,108.80x = 583,663.20 × 310,376.80
  4. Step 4: Simplify right side
    389,108.80x = 181,155,516,293.76
  5. Step 5: Solve for x
    x = 181,155,516,293.76/389,108.80
  6. Step 6: Final answer
    x = 465,565.20

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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.