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Finding the Fourth Proportional to 523,510.40, 784,228.80 and 312,521.60

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Solution

The fourth proportional to 523,510.40, 784,228.80 and 312,521.60 is: 468,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,510.40 : 784,228.80 = 312,521.60 : x
  2. Step 2: Convert to fraction form
    523,510.40/784,228.80 = 312,521.60/x
  3. Step 3: Cross multiply
    523,510.40x = 784,228.80 × 312,521.60
  4. Step 4: Simplify right side
    523,510.40x = 245,088,439,342.08
  5. Step 5: Solve for x
    x = 245,088,439,342.08/523,510.40
  6. Step 6: Final answer
    x = 468,163.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.