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Finding the Fourth Proportional to 242,645, 334,810.70 and 140,650.56

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Solution

The fourth proportional to 242,645, 334,810.70 and 140,650.56 is: 194,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,645 : 334,810.70 = 140,650.56 : x
  2. Step 2: Convert to fraction form
    242,645/334,810.70 = 140,650.56/x
  3. Step 3: Cross multiply
    242,645x = 334,810.70 × 140,650.56
  4. Step 4: Simplify right side
    242,645x = 47,091,312,448.99
  5. Step 5: Solve for x
    x = 47,091,312,448.99/242,645
  6. Step 6: Final answer
    x = 194,074.93

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1.5x scale

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.