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Finding the Fourth Proportional to 390,488.40, 585,295.20 and 165,810.60

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Solution

The fourth proportional to 390,488.40, 585,295.20 and 165,810.60 is: 248,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,488.40 : 585,295.20 = 165,810.60 : x
  2. Step 2: Convert to fraction form
    390,488.40/585,295.20 = 165,810.60/x
  3. Step 3: Cross multiply
    390,488.40x = 585,295.20 × 165,810.60
  4. Step 4: Simplify right side
    390,488.40x = 97,048,148,289.12
  5. Step 5: Solve for x
    x = 97,048,148,289.12/390,488.40
  6. Step 6: Final answer
    x = 248,530.17

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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.