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Finding the Fourth Proportional to 228,045.76, 314,712.02 and 151,432.75

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Solution

The fourth proportional to 228,045.76, 314,712.02 and 151,432.75 is: 208,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.76 : 314,712.02 = 151,432.75 : x
  2. Step 2: Convert to fraction form
    228,045.76/314,712.02 = 151,432.75/x
  3. Step 3: Cross multiply
    228,045.76x = 314,712.02 × 151,432.75
  4. Step 4: Simplify right side
    228,045.76x = 47,657,706,646.66
  5. Step 5: Solve for x
    x = 47,657,706,646.66/228,045.76
  6. Step 6: Final answer
    x = 208,983.09

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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.