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Finding the Fourth Proportional to 347,051.40, 520,577.10 and 288,002.40

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Solution

The fourth proportional to 347,051.40, 520,577.10 and 288,002.40 is: 432,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,051.40 : 520,577.10 = 288,002.40 : x
  2. Step 2: Convert to fraction form
    347,051.40/520,577.10 = 288,002.40/x
  3. Step 3: Cross multiply
    347,051.40x = 520,577.10 × 288,002.40
  4. Step 4: Simplify right side
    347,051.40x = 149,927,454,185.04
  5. Step 5: Solve for x
    x = 149,927,454,185.04/347,051.40
  6. Step 6: Final answer
    x = 432,003.60

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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.