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Finding the Fourth Proportional to 470,985.80, 706,521.90 and 155,443.40

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Solution

The fourth proportional to 470,985.80, 706,521.90 and 155,443.40 is: 233,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,985.80 : 706,521.90 = 155,443.40 : x
  2. Step 2: Convert to fraction form
    470,985.80/706,521.90 = 155,443.40/x
  3. Step 3: Cross multiply
    470,985.80x = 706,521.90 × 155,443.40
  4. Step 4: Simplify right side
    470,985.80x = 109,824,166,310.46
  5. Step 5: Solve for x
    x = 109,824,166,310.46/470,985.80
  6. Step 6: Final answer
    x = 233,179.36

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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.