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Finding the Fourth Proportional to 284,478.16, 392,578.64 and 157,153.76

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Solution

The fourth proportional to 284,478.16, 392,578.64 and 157,153.76 is: 216,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,478.16 : 392,578.64 = 157,153.76 : x
  2. Step 2: Convert to fraction form
    284,478.16/392,578.64 = 157,153.76/x
  3. Step 3: Cross multiply
    284,478.16x = 392,578.64 × 157,153.76
  4. Step 4: Simplify right side
    284,478.16x = 61,695,209,371.69
  5. Step 5: Solve for x
    x = 61,695,209,371.69/284,478.16
  6. Step 6: Final answer
    x = 216,871.51

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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.