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Finding the Fourth Proportional to 319,158.61, 440,433.62 and 175,931.98

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Solution

The fourth proportional to 319,158.61, 440,433.62 and 175,931.98 is: 242,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,158.61 : 440,433.62 = 175,931.98 : x
  2. Step 2: Convert to fraction form
    319,158.61/440,433.62 = 175,931.98/x
  3. Step 3: Cross multiply
    319,158.61x = 440,433.62 × 175,931.98
  4. Step 4: Simplify right side
    319,158.61x = 77,486,358,825.17
  5. Step 5: Solve for x
    x = 77,486,358,825.17/319,158.61
  6. Step 6: Final answer
    x = 242,783.23

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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.