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Finding the Fourth Proportional to 390,208.68, 584,911.26 and 153,455.40

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Solution

The fourth proportional to 390,208.68, 584,911.26 and 153,455.40 is: 230,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,208.68 : 584,911.26 = 153,455.40 : x
  2. Step 2: Convert to fraction form
    390,208.68/584,911.26 = 153,455.40/x
  3. Step 3: Cross multiply
    390,208.68x = 584,911.26 × 153,455.40
  4. Step 4: Simplify right side
    390,208.68x = 89,757,791,367.80
  5. Step 5: Solve for x
    x = 89,757,791,367.80/390,208.68
  6. Step 6: Final answer
    x = 230,025.10

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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.