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Finding the Fourth Proportional to 575,337, 863,006.10 and 310,779.66

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Solution

The fourth proportional to 575,337, 863,006.10 and 310,779.66 is: 466,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,337 : 863,006.10 = 310,779.66 : x
  2. Step 2: Convert to fraction form
    575,337/863,006.10 = 310,779.66/x
  3. Step 3: Cross multiply
    575,337x = 863,006.10 × 310,779.66
  4. Step 4: Simplify right side
    575,337x = 268,204,742,335.93
  5. Step 5: Solve for x
    x = 268,204,742,335.93/575,337
  6. Step 6: Final answer
    x = 466,169.81

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1.5x scale

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.