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Finding the Fourth Proportional to 652,139.80, 978,209.70 and 473,680.60

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Solution

The fourth proportional to 652,139.80, 978,209.70 and 473,680.60 is: 710,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,139.80 : 978,209.70 = 473,680.60 : x
  2. Step 2: Convert to fraction form
    652,139.80/978,209.70 = 473,680.60/x
  3. Step 3: Cross multiply
    652,139.80x = 978,209.70 × 473,680.60
  4. Step 4: Simplify right side
    652,139.80x = 463,358,957,621.82
  5. Step 5: Solve for x
    x = 463,358,957,621.82/652,139.80
  6. Step 6: Final answer
    x = 710,520.90

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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.