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Finding the Fourth Proportional to 357,430.20, 536,145.30 and 180,283.20

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Solution

The fourth proportional to 357,430.20, 536,145.30 and 180,283.20 is: 270,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430.20 : 536,145.30 = 180,283.20 : x
  2. Step 2: Convert to fraction form
    357,430.20/536,145.30 = 180,283.20/x
  3. Step 3: Cross multiply
    357,430.20x = 536,145.30 × 180,283.20
  4. Step 4: Simplify right side
    357,430.20x = 96,657,990,348.96
  5. Step 5: Solve for x
    x = 96,657,990,348.96/357,430.20
  6. Step 6: Final answer
    x = 270,424.80

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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.