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Finding the Fourth Proportional to 507,511.68, 761,739.84 and 258,380.16

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Solution

The fourth proportional to 507,511.68, 761,739.84 and 258,380.16 is: 387,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,511.68 : 761,739.84 = 258,380.16 : x
  2. Step 2: Convert to fraction form
    507,511.68/761,739.84 = 258,380.16/x
  3. Step 3: Cross multiply
    507,511.68x = 761,739.84 × 258,380.16
  4. Step 4: Simplify right side
    507,511.68x = 196,818,461,737.57
  5. Step 5: Solve for x
    x = 196,818,461,737.57/507,511.68
  6. Step 6: Final answer
    x = 387,810.70

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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.