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Finding the Fourth Proportional to 301,428, 452,142 and 124,031.52

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Solution

The fourth proportional to 301,428, 452,142 and 124,031.52 is: 186,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,428 : 452,142 = 124,031.52 : x
  2. Step 2: Convert to fraction form
    301,428/452,142 = 124,031.52/x
  3. Step 3: Cross multiply
    301,428x = 452,142 × 124,031.52
  4. Step 4: Simplify right side
    301,428x = 56,079,859,515.84
  5. Step 5: Solve for x
    x = 56,079,859,515.84/301,428
  6. Step 6: Final answer
    x = 186,047.28

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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.