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Finding the Fourth Proportional to 301,686.48, 452,628.02 and 143,894.40

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Solution

The fourth proportional to 301,686.48, 452,628.02 and 143,894.40 is: 215,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686.48 : 452,628.02 = 143,894.40 : x
  2. Step 2: Convert to fraction form
    301,686.48/452,628.02 = 143,894.40/x
  3. Step 3: Cross multiply
    301,686.48x = 452,628.02 × 143,894.40
  4. Step 4: Simplify right side
    301,686.48x = 65,130,637,361.09
  5. Step 5: Solve for x
    x = 65,130,637,361.09/301,686.48
  6. Step 6: Final answer
    x = 215,888.49

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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.