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Finding the Fourth Proportional to 509,526.72, 703,157.76 and 283,167.36

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Solution

The fourth proportional to 509,526.72, 703,157.76 and 283,167.36 is: 390,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,526.72 : 703,157.76 = 283,167.36 : x
  2. Step 2: Convert to fraction form
    509,526.72/703,157.76 = 283,167.36/x
  3. Step 3: Cross multiply
    509,526.72x = 703,157.76 × 283,167.36
  4. Step 4: Simplify right side
    509,526.72x = 199,111,326,562.71
  5. Step 5: Solve for x
    x = 199,111,326,562.71/509,526.72
  6. Step 6: Final answer
    x = 390,777.01

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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.