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Finding the Fourth Proportional to 389,426.40, 584,139.60 and 152,776.80

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Solution

The fourth proportional to 389,426.40, 584,139.60 and 152,776.80 is: 229,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,426.40 : 584,139.60 = 152,776.80 : x
  2. Step 2: Convert to fraction form
    389,426.40/584,139.60 = 152,776.80/x
  3. Step 3: Cross multiply
    389,426.40x = 584,139.60 × 152,776.80
  4. Step 4: Simplify right side
    389,426.40x = 89,242,978,841.28
  5. Step 5: Solve for x
    x = 89,242,978,841.28/389,426.40
  6. Step 6: Final answer
    x = 229,165.20

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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.