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Finding the Fourth Proportional to 531,005.64, 732,783.96 and 289,288.14

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Solution

The fourth proportional to 531,005.64, 732,783.96 and 289,288.14 is: 399,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,005.64 : 732,783.96 = 289,288.14 : x
  2. Step 2: Convert to fraction form
    531,005.64/732,783.96 = 289,288.14/x
  3. Step 3: Cross multiply
    531,005.64x = 732,783.96 × 289,288.14
  4. Step 4: Simplify right side
    531,005.64x = 211,985,708,810.23
  5. Step 5: Solve for x
    x = 211,985,708,810.23/531,005.64
  6. Step 6: Final answer
    x = 399,215.55

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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.