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Finding the Fourth Proportional to 553,347.10, 830,020.65 and 506,107.90

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Solution

The fourth proportional to 553,347.10, 830,020.65 and 506,107.90 is: 759,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,347.10 : 830,020.65 = 506,107.90 : x
  2. Step 2: Convert to fraction form
    553,347.10/830,020.65 = 506,107.90/x
  3. Step 3: Cross multiply
    553,347.10x = 830,020.65 × 506,107.90
  4. Step 4: Simplify right side
    553,347.10x = 420,080,008,128.14
  5. Step 5: Solve for x
    x = 420,080,008,128.14/553,347.10
  6. Step 6: Final answer
    x = 759,161.85

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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.