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Finding the Fourth Proportional to 359,457.60, 539,186.40 and 319,022.40

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Solution

The fourth proportional to 359,457.60, 539,186.40 and 319,022.40 is: 478,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,457.60 : 539,186.40 = 319,022.40 : x
  2. Step 2: Convert to fraction form
    359,457.60/539,186.40 = 319,022.40/x
  3. Step 3: Cross multiply
    359,457.60x = 539,186.40 × 319,022.40
  4. Step 4: Simplify right side
    359,457.60x = 172,012,539,375.36
  5. Step 5: Solve for x
    x = 172,012,539,375.36/359,457.60
  6. Step 6: Final answer
    x = 478,533.60

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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.