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Finding the Fourth Proportional to 420,020.80, 589,688 and 420,020.80

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Solution

The fourth proportional to 420,020.80, 589,688 and 420,020.80 is: 589,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,020.80 : 589,688 = 420,020.80 : x
  2. Step 2: Convert to fraction form
    420,020.80/589,688 = 420,020.80/x
  3. Step 3: Cross multiply
    420,020.80x = 589,688 × 420,020.80
  4. Step 4: Simplify right side
    420,020.80x = 247,681,225,510.40
  5. Step 5: Solve for x
    x = 247,681,225,510.40/420,020.80
  6. Step 6: Final answer
    x = 589,688

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.