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Finding the Fourth Proportional to 345,336.74, 518,075.42 and 145,657.86

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Solution

The fourth proportional to 345,336.74, 518,075.42 and 145,657.86 is: 218,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,336.74 : 518,075.42 = 145,657.86 : x
  2. Step 2: Convert to fraction form
    345,336.74/518,075.42 = 145,657.86/x
  3. Step 3: Cross multiply
    345,336.74x = 518,075.42 × 145,657.86
  4. Step 4: Simplify right side
    345,336.74x = 75,461,756,267.51
  5. Step 5: Solve for x
    x = 75,461,756,267.51/345,336.74
  6. Step 6: Final answer
    x = 218,516.45

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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.