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Finding the Fourth Proportional to 507,866.76, 700,840.94 and 278,416.20

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Solution

The fourth proportional to 507,866.76, 700,840.94 and 278,416.20 is: 384,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,866.76 : 700,840.94 = 278,416.20 : x
  2. Step 2: Convert to fraction form
    507,866.76/700,840.94 = 278,416.20/x
  3. Step 3: Cross multiply
    507,866.76x = 700,840.94 × 278,416.20
  4. Step 4: Simplify right side
    507,866.76x = 195,125,471,319.23
  5. Step 5: Solve for x
    x = 195,125,471,319.23/507,866.76
  6. Step 6: Final answer
    x = 384,206.03

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1.5x scale

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.