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Finding the Fourth Proportional to 319,064.86, 440,312.44 and 175,830.02

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Solution

The fourth proportional to 319,064.86, 440,312.44 and 175,830.02 is: 242,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064.86 : 440,312.44 = 175,830.02 : x
  2. Step 2: Convert to fraction form
    319,064.86/440,312.44 = 175,830.02/x
  3. Step 3: Cross multiply
    319,064.86x = 440,312.44 × 175,830.02
  4. Step 4: Simplify right side
    319,064.86x = 77,420,145,131.45
  5. Step 5: Solve for x
    x = 77,420,145,131.45/319,064.86
  6. Step 6: Final answer
    x = 242,647.04

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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.