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Finding the Fourth Proportional to 390,050.68, 584,960.10 and 165,407.80

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Solution

The fourth proportional to 390,050.68, 584,960.10 and 165,407.80 is: 248,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,050.68 : 584,960.10 = 165,407.80 : x
  2. Step 2: Convert to fraction form
    390,050.68/584,960.10 = 165,407.80/x
  3. Step 3: Cross multiply
    390,050.68x = 584,960.10 × 165,407.80
  4. Step 4: Simplify right side
    390,050.68x = 96,756,963,228.78
  5. Step 5: Solve for x
    x = 96,756,963,228.78/390,050.68
  6. Step 6: Final answer
    x = 248,062.54

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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.