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Finding the Fourth Proportional to 284,323.98, 392,434.40 and 163,535.06

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Solution

The fourth proportional to 284,323.98, 392,434.40 and 163,535.06 is: 225,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,323.98 : 392,434.40 = 163,535.06 : x
  2. Step 2: Convert to fraction form
    284,323.98/392,434.40 = 163,535.06/x
  3. Step 3: Cross multiply
    284,323.98x = 392,434.40 × 163,535.06
  4. Step 4: Simplify right side
    284,323.98x = 64,176,784,539.99
  5. Step 5: Solve for x
    x = 64,176,784,539.99/284,323.98
  6. Step 6: Final answer
    x = 225,717.10

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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.