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Finding the Fourth Proportional to 614,457.40, 921,686.10 and 259,871.80

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Solution

The fourth proportional to 614,457.40, 921,686.10 and 259,871.80 is: 389,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,457.40 : 921,686.10 = 259,871.80 : x
  2. Step 2: Convert to fraction form
    614,457.40/921,686.10 = 259,871.80/x
  3. Step 3: Cross multiply
    614,457.40x = 921,686.10 × 259,871.80
  4. Step 4: Simplify right side
    614,457.40x = 239,520,225,841.98
  5. Step 5: Solve for x
    x = 239,520,225,841.98/614,457.40
  6. Step 6: Final answer
    x = 389,807.70

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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.