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Finding the Fourth Proportional to 319,041.86, 440,287.02 and 175,811.13

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Solution

The fourth proportional to 319,041.86, 440,287.02 and 175,811.13 is: 242,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,041.86 : 440,287.02 = 175,811.13 : x
  2. Step 2: Convert to fraction form
    319,041.86/440,287.02 = 175,811.13/x
  3. Step 3: Cross multiply
    319,041.86x = 440,287.02 × 175,811.13
  4. Step 4: Simplify right side
    319,041.86x = 77,407,358,510.53
  5. Step 5: Solve for x
    x = 77,407,358,510.53/319,041.86
  6. Step 6: Final answer
    x = 242,624.46

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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.