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Finding the Fourth Proportional to 390,124.51, 585,355.79 and 137,585.46

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Solution

The fourth proportional to 390,124.51, 585,355.79 and 137,585.46 is: 206,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,124.51 : 585,355.79 = 137,585.46 : x
  2. Step 2: Convert to fraction form
    390,124.51/585,355.79 = 137,585.46/x
  3. Step 3: Cross multiply
    390,124.51x = 585,355.79 × 137,585.46
  4. Step 4: Simplify right side
    390,124.51x = 80,536,445,630.81
  5. Step 5: Solve for x
    x = 80,536,445,630.81/390,124.51
  6. Step 6: Final answer
    x = 206,437.80

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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.