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Finding the Fourth Proportional to 390,400.80, 584,726.40 and 311,668.80

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Solution

The fourth proportional to 390,400.80, 584,726.40 and 311,668.80 is: 466,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,400.80 : 584,726.40 = 311,668.80 : x
  2. Step 2: Convert to fraction form
    390,400.80/584,726.40 = 311,668.80/x
  3. Step 3: Cross multiply
    390,400.80x = 584,726.40 × 311,668.80
  4. Step 4: Simplify right side
    390,400.80x = 182,240,975,416.32
  5. Step 5: Solve for x
    x = 182,240,975,416.32/390,400.80
  6. Step 6: Final answer
    x = 466,804.82

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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.