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Finding the Fourth Proportional to 390,477.79, 585,297.51 and 165,648.52

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Solution

The fourth proportional to 390,477.79, 585,297.51 and 165,648.52 is: 248,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,477.79 : 585,297.51 = 165,648.52 : x
  2. Step 2: Convert to fraction form
    390,477.79/585,297.51 = 165,648.52/x
  3. Step 3: Cross multiply
    390,477.79x = 585,297.51 × 165,648.52
  4. Step 4: Simplify right side
    390,477.79x = 96,953,666,291.19
  5. Step 5: Solve for x
    x = 96,953,666,291.19/390,477.79
  6. Step 6: Final answer
    x = 248,294.96

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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.