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Finding the Fourth Proportional to 340,684.60, 510,838.80 and 158,116.36

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Solution

The fourth proportional to 340,684.60, 510,838.80 and 158,116.36 is: 237,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,684.60 : 510,838.80 = 158,116.36 : x
  2. Step 2: Convert to fraction form
    340,684.60/510,838.80 = 158,116.36/x
  3. Step 3: Cross multiply
    340,684.60x = 510,838.80 × 158,116.36
  4. Step 4: Simplify right side
    340,684.60x = 80,771,971,602.77
  5. Step 5: Solve for x
    x = 80,771,971,602.77/340,684.60
  6. Step 6: Final answer
    x = 237,087.24

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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.