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Finding the Fourth Proportional to 345,518.36, 518,342.88 and 135,143

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Solution

The fourth proportional to 345,518.36, 518,342.88 and 135,143 is: 202,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,518.36 : 518,342.88 = 135,143 : x
  2. Step 2: Convert to fraction form
    345,518.36/518,342.88 = 135,143/x
  3. Step 3: Cross multiply
    345,518.36x = 518,342.88 × 135,143
  4. Step 4: Simplify right side
    345,518.36x = 70,050,411,831.84
  5. Step 5: Solve for x
    x = 70,050,411,831.84/345,518.36
  6. Step 6: Final answer
    x = 202,740.06

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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.