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Finding the Fourth Proportional to 870,051.15, 1,200,814.89 and 507,475

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Solution

The fourth proportional to 870,051.15, 1,200,814.89 and 507,475 is: 700,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,051.15 : 1,200,814.89 = 507,475 : x
  2. Step 2: Convert to fraction form
    870,051.15/1,200,814.89 = 507,475/x
  3. Step 3: Cross multiply
    870,051.15x = 1,200,814.89 × 507,475
  4. Step 4: Simplify right side
    870,051.15x = 609,383,536,302.75
  5. Step 5: Solve for x
    x = 609,383,536,302.75/870,051.15
  6. Step 6: Final answer
    x = 700,399.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.