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Finding the Fourth Proportional to 517,726.90, 776,128.65 and 202,110.40

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Solution

The fourth proportional to 517,726.90, 776,128.65 and 202,110.40 is: 302,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,726.90 : 776,128.65 = 202,110.40 : x
  2. Step 2: Convert to fraction form
    517,726.90/776,128.65 = 202,110.40/x
  3. Step 3: Cross multiply
    517,726.90x = 776,128.65 × 202,110.40
  4. Step 4: Simplify right side
    517,726.90x = 156,863,671,902.96
  5. Step 5: Solve for x
    x = 156,863,671,902.96/517,726.90
  6. Step 6: Final answer
    x = 302,985.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.