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Finding the Fourth Proportional to 242,822.40, 363,844.80 and 153,916.80

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Solution

The fourth proportional to 242,822.40, 363,844.80 and 153,916.80 is: 230,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,822.40 : 363,844.80 = 153,916.80 : x
  2. Step 2: Convert to fraction form
    242,822.40/363,844.80 = 153,916.80/x
  3. Step 3: Cross multiply
    242,822.40x = 363,844.80 × 153,916.80
  4. Step 4: Simplify right side
    242,822.40x = 56,001,827,312.64
  5. Step 5: Solve for x
    x = 56,001,827,312.64/242,822.40
  6. Step 6: Final answer
    x = 230,628.75

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1.5x scale

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.