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Finding the Fourth Proportional to 284,356.05, 392,411.06 and 157,031.34

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Solution

The fourth proportional to 284,356.05, 392,411.06 and 157,031.34 is: 216,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.05 : 392,411.06 = 157,031.34 : x
  2. Step 2: Convert to fraction form
    284,356.05/392,411.06 = 157,031.34/x
  3. Step 3: Cross multiply
    284,356.05x = 392,411.06 × 157,031.34
  4. Step 4: Simplify right side
    284,356.05x = 61,620,832,914.79
  5. Step 5: Solve for x
    x = 61,620,832,914.79/284,356.05
  6. Step 6: Final answer
    x = 216,703.09

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1.5x scale

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.