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Finding the Fourth Proportional to 513,316.46, 769,717.71 and 158,284.35

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Solution

The fourth proportional to 513,316.46, 769,717.71 and 158,284.35 is: 237,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,316.46 : 769,717.71 = 158,284.35 : x
  2. Step 2: Convert to fraction form
    513,316.46/769,717.71 = 158,284.35/x
  3. Step 3: Cross multiply
    513,316.46x = 769,717.71 × 158,284.35
  4. Step 4: Simplify right side
    513,316.46x = 121,834,267,410.84
  5. Step 5: Solve for x
    x = 121,834,267,410.84/513,316.46
  6. Step 6: Final answer
    x = 237,347.28

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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.