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Finding the Fourth Proportional to 388,970.40, 583,225.20 and 202,346.40

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Solution

The fourth proportional to 388,970.40, 583,225.20 and 202,346.40 is: 303,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,970.40 : 583,225.20 = 202,346.40 : x
  2. Step 2: Convert to fraction form
    388,970.40/583,225.20 = 202,346.40/x
  3. Step 3: Cross multiply
    388,970.40x = 583,225.20 × 202,346.40
  4. Step 4: Simplify right side
    388,970.40x = 118,013,519,609.28
  5. Step 5: Solve for x
    x = 118,013,519,609.28/388,970.40
  6. Step 6: Final answer
    x = 303,399.74

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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.