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Finding the Fourth Proportional to 473,202, 709,807.86 and 140,778

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Solution

The fourth proportional to 473,202, 709,807.86 and 140,778 is: 211,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,202 : 709,807.86 = 140,778 : x
  2. Step 2: Convert to fraction form
    473,202/709,807.86 = 140,778/x
  3. Step 3: Cross multiply
    473,202x = 709,807.86 × 140,778
  4. Step 4: Simplify right side
    473,202x = 99,925,330,915.08
  5. Step 5: Solve for x
    x = 99,925,330,915.08/473,202
  6. Step 6: Final answer
    x = 211,168.45

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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.