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Finding the Fourth Proportional to 474,806.70, 712,210.05 and 142,382.70

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Solution

The fourth proportional to 474,806.70, 712,210.05 and 142,382.70 is: 213,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,806.70 : 712,210.05 = 142,382.70 : x
  2. Step 2: Convert to fraction form
    474,806.70/712,210.05 = 142,382.70/x
  3. Step 3: Cross multiply
    474,806.70x = 712,210.05 × 142,382.70
  4. Step 4: Simplify right side
    474,806.70x = 101,406,389,886.14
  5. Step 5: Solve for x
    x = 101,406,389,886.14/474,806.70
  6. Step 6: Final answer
    x = 213,574.05

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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.