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Finding the Fourth Proportional to 242,851.40, 363,888.30 and 153,945.80

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Solution

The fourth proportional to 242,851.40, 363,888.30 and 153,945.80 is: 230,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,851.40 : 363,888.30 = 153,945.80 : x
  2. Step 2: Convert to fraction form
    242,851.40/363,888.30 = 153,945.80/x
  3. Step 3: Cross multiply
    242,851.40x = 363,888.30 × 153,945.80
  4. Step 4: Simplify right side
    242,851.40x = 56,019,075,454.14
  5. Step 5: Solve for x
    x = 56,019,075,454.14/242,851.40
  6. Step 6: Final answer
    x = 230,672.24

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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.