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Finding the Fourth Proportional to 390,113.51, 585,339.29 and 137,574.44

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Solution

The fourth proportional to 390,113.51, 585,339.29 and 137,574.44 is: 206,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,113.51 : 585,339.29 = 137,574.44 : x
  2. Step 2: Convert to fraction form
    390,113.51/585,339.29 = 137,574.44/x
  3. Step 3: Cross multiply
    390,113.51x = 585,339.29 × 137,574.44
  4. Step 4: Simplify right side
    390,113.51x = 80,527,721,417.18
  5. Step 5: Solve for x
    x = 80,527,721,417.18/390,113.51
  6. Step 6: Final answer
    x = 206,421.26

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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.