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Finding the Fourth Proportional to 249,816, 344,737.40 and 142,420.62

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Solution

The fourth proportional to 249,816, 344,737.40 and 142,420.62 is: 196,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,816 : 344,737.40 = 142,420.62 : x
  2. Step 2: Convert to fraction form
    249,816/344,737.40 = 142,420.62/x
  3. Step 3: Cross multiply
    249,816x = 344,737.40 × 142,420.62
  4. Step 4: Simplify right side
    249,816x = 49,097,714,245.19
  5. Step 5: Solve for x
    x = 49,097,714,245.19/249,816
  6. Step 6: Final answer
    x = 196,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.