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Finding the Fourth Proportional to 284,168.19, 392,124.17 and 156,835.58

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Solution

The fourth proportional to 284,168.19, 392,124.17 and 156,835.58 is: 216,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,168.19 : 392,124.17 = 156,835.58 : x
  2. Step 2: Convert to fraction form
    284,168.19/392,124.17 = 156,835.58/x
  3. Step 3: Cross multiply
    284,168.19x = 392,124.17 × 156,835.58
  4. Step 4: Simplify right side
    284,168.19x = 61,499,018,889.17
  5. Step 5: Solve for x
    x = 61,499,018,889.17/284,168.19
  6. Step 6: Final answer
    x = 216,417.67

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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.