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Finding the Fourth Proportional to 531,901.55, 734,022.54 and 290,182.40

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Solution

The fourth proportional to 531,901.55, 734,022.54 and 290,182.40 is: 400,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,901.55 : 734,022.54 = 290,182.40 : x
  2. Step 2: Convert to fraction form
    531,901.55/734,022.54 = 290,182.40/x
  3. Step 3: Cross multiply
    531,901.55x = 734,022.54 × 290,182.40
  4. Step 4: Simplify right side
    531,901.55x = 213,000,421,393.77
  5. Step 5: Solve for x
    x = 213,000,421,393.77/531,901.55
  6. Step 6: Final answer
    x = 400,450.84

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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.