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Finding the Fourth Proportional to 242,941.80, 335,415.78 and 152,421.96

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Solution

The fourth proportional to 242,941.80, 335,415.78 and 152,421.96 is: 210,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,941.80 : 335,415.78 = 152,421.96 : x
  2. Step 2: Convert to fraction form
    242,941.80/335,415.78 = 152,421.96/x
  3. Step 3: Cross multiply
    242,941.80x = 335,415.78 × 152,421.96
  4. Step 4: Simplify right side
    242,941.80x = 51,124,730,602.53
  5. Step 5: Solve for x
    x = 51,124,730,602.53/242,941.80
  6. Step 6: Final answer
    x = 210,440.24

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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.