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Finding the Fourth Proportional to 654,210.21, 980,913.44 and 254,384.93

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Solution

The fourth proportional to 654,210.21, 980,913.44 and 254,384.93 is: 381,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,210.21 : 980,913.44 = 254,384.93 : x
  2. Step 2: Convert to fraction form
    654,210.21/980,913.44 = 254,384.93/x
  3. Step 3: Cross multiply
    654,210.21x = 980,913.44 × 254,384.93
  4. Step 4: Simplify right side
    654,210.21x = 249,529,596,770.46
  5. Step 5: Solve for x
    x = 249,529,596,770.46/654,210.21
  6. Step 6: Final answer
    x = 381,421.13

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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.