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Finding the Fourth Proportional to 390,511.89, 585,543.63 and 153,725.40

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Solution

The fourth proportional to 390,511.89, 585,543.63 and 153,725.40 is: 230,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,511.89 : 585,543.63 = 153,725.40 : x
  2. Step 2: Convert to fraction form
    390,511.89/585,543.63 = 153,725.40/x
  3. Step 3: Cross multiply
    390,511.89x = 585,543.63 × 153,725.40
  4. Step 4: Simplify right side
    390,511.89x = 90,012,928,739.20
  5. Step 5: Solve for x
    x = 90,012,928,739.20/390,511.89
  6. Step 6: Final answer
    x = 230,499.84

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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.