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Finding the Fourth Proportional to 284,358.21, 392,411.86 and 157,031.07

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Solution

The fourth proportional to 284,358.21, 392,411.86 and 157,031.07 is: 216,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358.21 : 392,411.86 = 157,031.07 : x
  2. Step 2: Convert to fraction form
    284,358.21/392,411.86 = 157,031.07/x
  3. Step 3: Cross multiply
    284,358.21x = 392,411.86 × 157,031.07
  4. Step 4: Simplify right side
    284,358.21x = 61,620,854,256.49
  5. Step 5: Solve for x
    x = 61,620,854,256.49/284,358.21
  6. Step 6: Final answer
    x = 216,701.51

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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.