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Finding the Fourth Proportional to 319,681.80, 441,129.47 and 176,432.60

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Solution

The fourth proportional to 319,681.80, 441,129.47 and 176,432.60 is: 243,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,681.80 : 441,129.47 = 176,432.60 : x
  2. Step 2: Convert to fraction form
    319,681.80/441,129.47 = 176,432.60/x
  3. Step 3: Cross multiply
    319,681.80x = 441,129.47 × 176,432.60
  4. Step 4: Simplify right side
    319,681.80x = 77,829,617,564.16
  5. Step 5: Solve for x
    x = 77,829,617,564.16/319,681.80
  6. Step 6: Final answer
    x = 243,459.65

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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.