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Finding the Fourth Proportional to 390,802.88, 539,549.88 and 299,984.96

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Solution

The fourth proportional to 390,802.88, 539,549.88 and 299,984.96 is: 414,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,802.88 : 539,549.88 = 299,984.96 : x
  2. Step 2: Convert to fraction form
    390,802.88/539,549.88 = 299,984.96/x
  3. Step 3: Cross multiply
    390,802.88x = 539,549.88 × 299,984.96
  4. Step 4: Simplify right side
    390,802.88x = 161,856,849,169.81
  5. Step 5: Solve for x
    x = 161,856,849,169.81/390,802.88
  6. Step 6: Final answer
    x = 414,164.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.